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Simplifying 3(w + 4) = -8w + 1 Reorder the terms: 3(4 + w) = -8w + 1 (4 * 3 + w * 3) = -8w + 1 (12 + 3w) = -8w + 1 Reorder the terms: 12 + 3w = 1 + -8w Solving 12 + 3w = 1 + -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. 12 + 3w + 8w = 1 + -8w + 8w Combine like terms: 3w + 8w = 11w 12 + 11w = 1 + -8w + 8w Combine like terms: -8w + 8w = 0 12 + 11w = 1 + 0 12 + 11w = 1 Add '-12' to each side of the equation. 12 + -12 + 11w = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 11w = 1 + -12 11w = 1 + -12 Combine like terms: 1 + -12 = -11 11w = -11 Divide each side by '11'. w = -1 Simplifying w = -1
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