31=3(w+5)-7w

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Solution for 31=3(w+5)-7w equation:


Simplifying
31 = 3(w + 5) + -7w

Reorder the terms:
31 = 3(5 + w) + -7w
31 = (5 * 3 + w * 3) + -7w
31 = (15 + 3w) + -7w

Combine like terms: 3w + -7w = -4w
31 = 15 + -4w

Solving
31 = 15 + -4w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '4w' to each side of the equation.
31 + 4w = 15 + -4w + 4w

Combine like terms: -4w + 4w = 0
31 + 4w = 15 + 0
31 + 4w = 15

Add '-31' to each side of the equation.
31 + -31 + 4w = 15 + -31

Combine like terms: 31 + -31 = 0
0 + 4w = 15 + -31
4w = 15 + -31

Combine like terms: 15 + -31 = -16
4w = -16

Divide each side by '4'.
w = -4

Simplifying
w = -4

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