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Simplifying -8(w + -4) = 5w + -20 Reorder the terms: -8(-4 + w) = 5w + -20 (-4 * -8 + w * -8) = 5w + -20 (32 + -8w) = 5w + -20 Reorder the terms: 32 + -8w = -20 + 5w Solving 32 + -8w = -20 + 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 + -8w + -5w = -20 + 5w + -5w Combine like terms: -8w + -5w = -13w 32 + -13w = -20 + 5w + -5w Combine like terms: 5w + -5w = 0 32 + -13w = -20 + 0 32 + -13w = -20 Add '-32' to each side of the equation. 32 + -32 + -13w = -20 + -32 Combine like terms: 32 + -32 = 0 0 + -13w = -20 + -32 -13w = -20 + -32 Combine like terms: -20 + -32 = -52 -13w = -52 Divide each side by '-13'. w = 4 Simplifying w = 4
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