Add: (2m-3)+(3n-1)+(3m+1)
wrong
I apologize for the mistake.
Let's go through the addition step by step:
(2m - 3) + (3n - 1) + (3m + 1)
First, we add the terms with m:
2m + 3m = 5m
Next, let's add the constant terms: -3 + (-1) + 1 = -3
Lastly, we add the terms with n: 3n
Putting it all together, we have:
(2m - 3) + (3n - 1) + (3m + 1) = 5m + 3n - 3
Subtract: 2(10b+4)-(b-2)
To solve the expression 2(10b + 4) - (b - 2), we will follow the order of operations, also called PEMDAS.
First, let's simplify the expressions inside the parentheses:
2(10b + 4) = 20b + 8
Next, distribute the negative sign to the terms inside the parentheses:
-(b - 2) = -b + 2
Now, we can rewrite the expression with the simplified forms:
2(10b + 4) - (b - 2) = 20b + 8 - (b - 2)
Now, distribute the negative sign inside the parentheses:
20b + 8 - b + 2 = 20b - b + 8 + 2
Combine like terms:
(20b - b) + (8 + 2) = 19b + 10
Therefore, the final answer is 19b + 10.
Subtract: (3g-4)-2(3g+4)
To subtract (3g - 4) - 2(3g + 4), we will follow the order of operations, also known as PEMDAS.
First, let's simplify the expression inside the parentheses:
2(3g + 4) = 6g + 8
Now, we can rewrite the original expression with the simplified form:
(3g - 4) - 2(3g + 4) = 3g - 4 - (6g + 8)
Next, distribute the negative sign to the terms inside the parentheses:
3g - 4 - 6g - 8 = 3g - 6g - 4 - 8
Combine like terms:
(3g - 6g) + (-4 - 8) = -3g - 12
Therefore, the final answer is -3g - 12.
Use the properties of operations to add 9(k+1/3)+10(1/2k-1)
To add 9(k + 1/3) + 10(1/2k - 1), we can use the distributive property of multiplication over addition/subtraction. This states that a(b + c) = ab + ac.
First, let's apply the distributive property to each term:
9(k + 1/3) = 9k + 9(1/3) = 9k + 3
10(1/2k - 1) = 10(1/2k) - 10(1) = 5k - 10
Now, we can add the simplified terms together:
9k + 3 + 5k - 10
Combine like terms: 9k + 5k + 3 - 10 = 14k - 7
Therefore, the final answer is 14k - 7.
Use the properties of operations to add 4 (g-2)+(g+2)
To add 4(g - 2) + (g + 2), we can use the distributive property of multiplication over addition/subtraction. This states that a(b + c) = ab + ac.
First, let's apply the distributive property to each term:
4(g - 2) = 4g - 8
(g + 2) remains unchanged.
Now, we can add the simplified terms together:
4g - 8 + g + 2
Combine like terms: 4g + g - 8 + 2 = 5g - 6
Therefore, the final answer is 5g - 6.