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Simplifying -4w + 32 = 5(w + -8) Reorder the terms: 32 + -4w = 5(w + -8) Reorder the terms: 32 + -4w = 5(-8 + w) 32 + -4w = (-8 * 5 + w * 5) 32 + -4w = (-40 + 5w) Solving 32 + -4w = -40 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 32 + -4w + -5w = -40 + 5w + -5w Combine like terms: -4w + -5w = -9w 32 + -9w = -40 + 5w + -5w Combine like terms: 5w + -5w = 0 32 + -9w = -40 + 0 32 + -9w = -40 Add '-32' to each side of the equation. 32 + -32 + -9w = -40 + -32 Combine like terms: 32 + -32 = 0 0 + -9w = -40 + -32 -9w = -40 + -32 Combine like terms: -40 + -32 = -72 -9w = -72 Divide each side by '-9'. w = 8 Simplifying w = 8
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