5(w+3)=-3(2w-7)+7w

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Solution for 5(w+3)=-3(2w-7)+7w equation:


Simplifying
5(w + 3) = -3(2w + -7) + 7w

Reorder the terms:
5(3 + w) = -3(2w + -7) + 7w
(3 * 5 + w * 5) = -3(2w + -7) + 7w
(15 + 5w) = -3(2w + -7) + 7w

Reorder the terms:
15 + 5w = -3(-7 + 2w) + 7w
15 + 5w = (-7 * -3 + 2w * -3) + 7w
15 + 5w = (21 + -6w) + 7w

Combine like terms: -6w + 7w = 1w
15 + 5w = 21 + 1w

Solving
15 + 5w = 21 + 1w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
15 + 5w + -1w = 21 + 1w + -1w

Combine like terms: 5w + -1w = 4w
15 + 4w = 21 + 1w + -1w

Combine like terms: 1w + -1w = 0
15 + 4w = 21 + 0
15 + 4w = 21

Add '-15' to each side of the equation.
15 + -15 + 4w = 21 + -15

Combine like terms: 15 + -15 = 0
0 + 4w = 21 + -15
4w = 21 + -15

Combine like terms: 21 + -15 = 6
4w = 6

Divide each side by '4'.
w = 1.5

Simplifying
w = 1.5

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