Simplify -3(10b+10)+5(b+2)
-3(10b+10)+5(b+2)
-30b - 30 + 5b + 10
-25b - 20
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To simplify the expression -3(10b+10)+5(b+2), we can use the distributive property. Let's break it down step-by-step:
First, distribute -3 to each term within the parentheses, 10b and 10:
-3(10b+10) = -3 * 10b + -3 * 10 = -30b - 30
Next, distribute 5 to each term within the parentheses, b and 2:
5(b+2) = 5 * b + 5 * 2 = 5b + 10
Now, combine like terms by adding the two simplified expressions:
-30b - 30 + 5b + 10
To simplify further, we can combine like terms by adding the coefficients of the same variable, b:
(-30b + 5b) + (-30 + 10) = -25b - 20
Therefore, the simplified expression is -25b - 20.
To simplify the expression -3(10b+10)+5(b+2), you need to apply the distributive property to remove the parentheses.
First, distribute -3 to each term inside the parentheses:
-3(10b+10) = -3 * 10b + (-3) * 10
-3 * 10b = -30b
-3 * 10 = -30
So, the expression becomes:
-30b - 30 + 5(b+2)
Next, distribute 5 to each term inside the second set of parentheses:
5(b+2) = 5 * b + 5 * 2
5 * b = 5b
5 * 2 = 10
Now, the expression becomes:
-30b - 30 + 5b + 10
Combine like terms:
-30b + 5b = -25b
-30 + 10 = -20
The final simplified expression is:
-25b - 20