5(w+8)=-5(3w-6)+6w

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Solution for 5(w+8)=-5(3w-6)+6w equation:


Simplifying
5(w + 8) = -5(3w + -6) + 6w

Reorder the terms:
5(8 + w) = -5(3w + -6) + 6w
(8 * 5 + w * 5) = -5(3w + -6) + 6w
(40 + 5w) = -5(3w + -6) + 6w

Reorder the terms:
40 + 5w = -5(-6 + 3w) + 6w
40 + 5w = (-6 * -5 + 3w * -5) + 6w
40 + 5w = (30 + -15w) + 6w

Combine like terms: -15w + 6w = -9w
40 + 5w = 30 + -9w

Solving
40 + 5w = 30 + -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.
40 + 5w + 9w = 30 + -9w + 9w

Combine like terms: 5w + 9w = 14w
40 + 14w = 30 + -9w + 9w

Combine like terms: -9w + 9w = 0
40 + 14w = 30 + 0
40 + 14w = 30

Add '-40' to each side of the equation.
40 + -40 + 14w = 30 + -40

Combine like terms: 40 + -40 = 0
0 + 14w = 30 + -40
14w = 30 + -40

Combine like terms: 30 + -40 = -10
14w = -10

Divide each side by '14'.
w = -0.7142857143

Simplifying
w = -0.7142857143

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