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Simplifying 8(w + -6) + -1(-3w + -5) = 10w Reorder the terms: 8(-6 + w) + -1(-3w + -5) = 10w (-6 * 8 + w * 8) + -1(-3w + -5) = 10w (-48 + 8w) + -1(-3w + -5) = 10w Reorder the terms: -48 + 8w + -1(-5 + -3w) = 10w -48 + 8w + (-5 * -1 + -3w * -1) = 10w -48 + 8w + (5 + 3w) = 10w Reorder the terms: -48 + 5 + 8w + 3w = 10w Combine like terms: -48 + 5 = -43 -43 + 8w + 3w = 10w Combine like terms: 8w + 3w = 11w -43 + 11w = 10w Solving -43 + 11w = 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -43 + 11w + -10w = 10w + -10w Combine like terms: 11w + -10w = 1w -43 + 1w = 10w + -10w Combine like terms: 10w + -10w = 0 -43 + 1w = 0 Add '43' to each side of the equation. -43 + 43 + 1w = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 1w = 0 + 43 1w = 0 + 43 Combine like terms: 0 + 43 = 43 1w = 43 Divide each side by '1'. w = 43 Simplifying w = 43
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