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Simplifying 8(w + -6) + -1(7 + -4w) = 11w Reorder the terms: 8(-6 + w) + -1(7 + -4w) = 11w (-6 * 8 + w * 8) + -1(7 + -4w) = 11w (-48 + 8w) + -1(7 + -4w) = 11w -48 + 8w + (7 * -1 + -4w * -1) = 11w -48 + 8w + (-7 + 4w) = 11w Reorder the terms: -48 + -7 + 8w + 4w = 11w Combine like terms: -48 + -7 = -55 -55 + 8w + 4w = 11w Combine like terms: 8w + 4w = 12w -55 + 12w = 11w Solving -55 + 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. -55 + 12w + -11w = 11w + -11w Combine like terms: 12w + -11w = 1w -55 + 1w = 11w + -11w Combine like terms: 11w + -11w = 0 -55 + 1w = 0 Add '55' to each side of the equation. -55 + 55 + 1w = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 1w = 0 + 55 1w = 0 + 55 Combine like terms: 0 + 55 = 55 1w = 55 Divide each side by '1'. w = 55 Simplifying w = 55
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