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Simplifying -7(w + -4) = 5w + -32 Reorder the terms: -7(-4 + w) = 5w + -32 (-4 * -7 + w * -7) = 5w + -32 (28 + -7w) = 5w + -32 Reorder the terms: 28 + -7w = -32 + 5w Solving 28 + -7w = -32 + 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. 28 + -7w + -5w = -32 + 5w + -5w Combine like terms: -7w + -5w = -12w 28 + -12w = -32 + 5w + -5w Combine like terms: 5w + -5w = 0 28 + -12w = -32 + 0 28 + -12w = -32 Add '-28' to each side of the equation. 28 + -28 + -12w = -32 + -28 Combine like terms: 28 + -28 = 0 0 + -12w = -32 + -28 -12w = -32 + -28 Combine like terms: -32 + -28 = -60 -12w = -60 Divide each side by '-12'. w = 5 Simplifying w = 5
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