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Simplifying 9w + -12 = 5(w + -8) Reorder the terms: -12 + 9w = 5(w + -8) Reorder the terms: -12 + 9w = 5(-8 + w) -12 + 9w = (-8 * 5 + w * 5) -12 + 9w = (-40 + 5w) Solving -12 + 9w = -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. -12 + 9w + -5w = -40 + 5w + -5w Combine like terms: 9w + -5w = 4w -12 + 4w = -40 + 5w + -5w Combine like terms: 5w + -5w = 0 -12 + 4w = -40 + 0 -12 + 4w = -40 Add '12' to each side of the equation. -12 + 12 + 4w = -40 + 12 Combine like terms: -12 + 12 = 0 0 + 4w = -40 + 12 4w = -40 + 12 Combine like terms: -40 + 12 = -28 4w = -28 Divide each side by '4'. w = -7 Simplifying w = -7
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