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Simplifying -8w + 12 = 5(w + 5) Reorder the terms: 12 + -8w = 5(w + 5) Reorder the terms: 12 + -8w = 5(5 + w) 12 + -8w = (5 * 5 + w * 5) 12 + -8w = (25 + 5w) Solving 12 + -8w = 25 + 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 + -8w + -5w = 25 + 5w + -5w Combine like terms: -8w + -5w = -13w 12 + -13w = 25 + 5w + -5w Combine like terms: 5w + -5w = 0 12 + -13w = 25 + 0 12 + -13w = 25 Add '-12' to each side of the equation. 12 + -12 + -13w = 25 + -12 Combine like terms: 12 + -12 = 0 0 + -13w = 25 + -12 -13w = 25 + -12 Combine like terms: 25 + -12 = 13 -13w = 13 Divide each side by '-13'. w = -1 Simplifying w = -1
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