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Simplifying -5w + 46 = 8(w + -4) Reorder the terms: 46 + -5w = 8(w + -4) Reorder the terms: 46 + -5w = 8(-4 + w) 46 + -5w = (-4 * 8 + w * 8) 46 + -5w = (-32 + 8w) Solving 46 + -5w = -32 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 46 + -5w + -8w = -32 + 8w + -8w Combine like terms: -5w + -8w = -13w 46 + -13w = -32 + 8w + -8w Combine like terms: 8w + -8w = 0 46 + -13w = -32 + 0 46 + -13w = -32 Add '-46' to each side of the equation. 46 + -46 + -13w = -32 + -46 Combine like terms: 46 + -46 = 0 0 + -13w = -32 + -46 -13w = -32 + -46 Combine like terms: -32 + -46 = -78 -13w = -78 Divide each side by '-13'. w = 6 Simplifying w = 6
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