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Simplifying 8(w + 4) = -3w + 21 Reorder the terms: 8(4 + w) = -3w + 21 (4 * 8 + w * 8) = -3w + 21 (32 + 8w) = -3w + 21 Reorder the terms: 32 + 8w = 21 + -3w Solving 32 + 8w = 21 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 32 + 8w + 3w = 21 + -3w + 3w Combine like terms: 8w + 3w = 11w 32 + 11w = 21 + -3w + 3w Combine like terms: -3w + 3w = 0 32 + 11w = 21 + 0 32 + 11w = 21 Add '-32' to each side of the equation. 32 + -32 + 11w = 21 + -32 Combine like terms: 32 + -32 = 0 0 + 11w = 21 + -32 11w = 21 + -32 Combine like terms: 21 + -32 = -11 11w = -11 Divide each side by '11'. w = -1 Simplifying w = -1
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