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Simplifying 4(3w + 2) = w + -14 Reorder the terms: 4(2 + 3w) = w + -14 (2 * 4 + 3w * 4) = w + -14 (8 + 12w) = w + -14 Reorder the terms: 8 + 12w = -14 + w Solving 8 + 12w = -14 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 8 + 12w + -1w = -14 + w + -1w Combine like terms: 12w + -1w = 11w 8 + 11w = -14 + w + -1w Combine like terms: w + -1w = 0 8 + 11w = -14 + 0 8 + 11w = -14 Add '-8' to each side of the equation. 8 + -8 + 11w = -14 + -8 Combine like terms: 8 + -8 = 0 0 + 11w = -14 + -8 11w = -14 + -8 Combine like terms: -14 + -8 = -22 11w = -22 Divide each side by '11'. w = -2 Simplifying w = -2
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