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Simplifying 8(w + 2) + -1(1 + -4w) = 11w Reorder the terms: 8(2 + w) + -1(1 + -4w) = 11w (2 * 8 + w * 8) + -1(1 + -4w) = 11w (16 + 8w) + -1(1 + -4w) = 11w 16 + 8w + (1 * -1 + -4w * -1) = 11w 16 + 8w + (-1 + 4w) = 11w Reorder the terms: 16 + -1 + 8w + 4w = 11w Combine like terms: 16 + -1 = 15 15 + 8w + 4w = 11w Combine like terms: 8w + 4w = 12w 15 + 12w = 11w Solving 15 + 12w = 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. 15 + 12w + -11w = 11w + -11w Combine like terms: 12w + -11w = 1w 15 + 1w = 11w + -11w Combine like terms: 11w + -11w = 0 15 + 1w = 0 Add '-15' to each side of the equation. 15 + -15 + 1w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 1w = 0 + -15 1w = 0 + -15 Combine like terms: 0 + -15 = -15 1w = -15 Divide each side by '1'. w = -15 Simplifying w = -15
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