Which is a simplified form of the expression -4(3r – 2) – 2(r + 1)?
1 answer:
Answer:
2 (3 - 7 r)
Step-by-step explanation:
Simplify the following:
-4 (3 r - 2) - 2 (r + 1)
-4 (3 r - 2) = 8 - 12 r:
8 - 12 r - 2 (r + 1)
-2 (r + 1) = -2 r - 2:
-12 r + -2 r - 2 + 8
Grouping like terms, -2 r - 12 r - 2 + 8 = (8 - 2) + (-12 r - 2 r):
(8 - 2) + (-12 r - 2 r)
-12 r - 2 r = -14 r:
-14 r + (8 - 2)
8 - 2 = 6:
6 - 14 r
Factor 2 out of 6 - 14 r:
Answer: 2 (3 - 7 r)
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<u>Answer</u>:
Jared is right.
<u>Explanation</u>:
proof 1:
10 - 4 = 6
6 = 6
second proof:
10-3 - 4 = 6 - 3
10 - 7 = 3
3 = 3
third proof:
10 - 4 - 3 = 6 - 3
10 - 7 = 3
3 = 3
Hence for all LHS = RHS proved and Jared is correct.
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