Simplify −5+34 (8h+12)−10h
−5+34(8h+12)−10h simplifies to:
−5 + 34(8h) + 34(12)−10h
Distribute 34:
−5 + 272h + 408−10h
Combine like terms:
(−5 + 408) + (272h - 10h)
403 + 262h
So, the simplified expression is 403 + 262h.
To simplify the expression −5+34 (8h+12)−10h, start by distributing the 34 to each term inside the parentheses:
−5 + 34 * 8h + 34 * 12 − 10h
Simplify the products:
−5 + 272h + 408 − 10h
Combine like terms:
(−5 + 408) + (272h − 10h)
Simplify within parentheses:
403 + 262h
So, the simplified expression is 403 + 262h.
To simplify the expression −5+34(8h+12)−10h, we can follow the order of operations, which states that we should first simplify any parentheses, then perform any multiplication or division, and finally any addition or subtraction.
Let's break it down step by step:
Step 1: Simplify the expression inside the parentheses (8h+12).
Since the expression inside the parentheses doesn't have any further simplification, we can just leave it as it is: 8h+12.
Step 2: Multiply the coefficient (34) by the simplified expression (8h+12).
To do this, we distribute 34 to both terms inside the parentheses:
34 * 8h = 272h
34 * 12 = 408
So, the multiplication step gives us: 272h + 408.
Step 3: Rewrite the whole expression with the multiplication step included.
−5 + 272h + 408 − 10h
Step 4: Combine like terms.
Combine the terms containing 'h' and the constant terms separately:
272h - 10h = 262h
-5 + 408 = 403
So, the simplified expression is:
262h + 403