Question

7(w+2)=-6(2w-1)+3wsolve for w.​

Answer 1

9514 1404 393

Answer:

  w = -1/2

Step-by-step explanation:

Eliminate parentheses, collect terms:

  7w +14 = -12w +6 +3w . . . eliminate parentheses

  7w +14 = -9w +6 . . . . . . . . collect terms

  16w +14 = 6 . . . . . . . . . . . . add 9w

  16w = -8 . . . . . . . . . . . . . . . subtract 14

  w = -1/2 . . . . . . . divide by 16, reduce the fraction

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Check

  7(-1/2 +2) = -6(2(-1/2) -1) +3(-1/2)

  7(3/2) = -6(-2) -3/2

  21/2 = 12 -3/2 . . . . . true, answer checks OK