Simplify completely: -3(4-9)+6-2(-8+5)
-3(4-9)+6-2(-8+5)
follow the order of operations
= -3(-5) +6 - 2(-3)
= 15 + 6 + 6
= 27
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To simplify completely the expression -3(4-9)+6-2(-8+5), follow these steps:
Step 1: Evaluate the expression within parentheses:
-3(4-9) = -3*(-5)
Step 2: Simplify the multiplication within parentheses:
-3*(-5) = 15
Step 3: Evaluate the second expression within parentheses:
-2(-8+5) = -2*(-3)
Step 4: Simplify the multiplication within parentheses:
-2*(-3) = 6
Step 5: Re-write the original expression with the simplified values:
15+6+6
Step 6: Add the simplified values together:
15+6+6 = 27
Therefore, the completely simplified expression is 27.
To simplify the given expression, we'll follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).
Step 1: Simplify within parentheses:
In the expression, we have two sets of parentheses: (4-9) and (-8+5).
1. (4 - 9) equals -5.
2. (-8 + 5) equals -3.
After simplifying, the expression becomes:
-3(-5) + 6 - 2(-3)
Step 2: Multiply and divide from left to right:
We'll multiply and divide where applicable following the order of operations.
1. -3 * -5 equals 15 (negative multiplied by negative gives a positive result).
The expression becomes:
15 + 6 - 2(-3)
Step 3: Simplify the remaining addition and subtraction:
1. 15 + 6 equals 21.
2. -2(-3) equals 6 (negative multiplied by negative gives a positive result).
The final simplified expression is:
21 + 6 + 6 = 33