5(w+7)=-6(2w-7)+3w

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Solution for 5(w+7)=-6(2w-7)+3w equation:


Simplifying
5(w + 7) = -6(2w + -7) + 3w

Reorder the terms:
5(7 + w) = -6(2w + -7) + 3w
(7 * 5 + w * 5) = -6(2w + -7) + 3w
(35 + 5w) = -6(2w + -7) + 3w

Reorder the terms:
35 + 5w = -6(-7 + 2w) + 3w
35 + 5w = (-7 * -6 + 2w * -6) + 3w
35 + 5w = (42 + -12w) + 3w

Combine like terms: -12w + 3w = -9w
35 + 5w = 42 + -9w

Solving
35 + 5w = 42 + -9w

Solving for variable 'w'.

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

Add '9w' to each side of the equation.
35 + 5w + 9w = 42 + -9w + 9w

Combine like terms: 5w + 9w = 14w
35 + 14w = 42 + -9w + 9w

Combine like terms: -9w + 9w = 0
35 + 14w = 42 + 0
35 + 14w = 42

Add '-35' to each side of the equation.
35 + -35 + 14w = 42 + -35

Combine like terms: 35 + -35 = 0
0 + 14w = 42 + -35
14w = 42 + -35

Combine like terms: 42 + -35 = 7
14w = 7

Divide each side by '14'.
w = 0.5

Simplifying
w = 0.5

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