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Simplifying 32 = 4(w + 7) + -8w Reorder the terms: 32 = 4(7 + w) + -8w 32 = (7 * 4 + w * 4) + -8w 32 = (28 + 4w) + -8w Combine like terms: 4w + -8w = -4w 32 = 28 + -4w Solving 32 = 28 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 32 + 4w = 28 + -4w + 4w Combine like terms: -4w + 4w = 0 32 + 4w = 28 + 0 32 + 4w = 28 Add '-32' to each side of the equation. 32 + -32 + 4w = 28 + -32 Combine like terms: 32 + -32 = 0 0 + 4w = 28 + -32 4w = 28 + -32 Combine like terms: 28 + -32 = -4 4w = -4 Divide each side by '4'. w = -1 Simplifying w = -1
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