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Simplifying 5(w + 8) + -1(6w + -5) = 10w Reorder the terms: 5(8 + w) + -1(6w + -5) = 10w (8 * 5 + w * 5) + -1(6w + -5) = 10w (40 + 5w) + -1(6w + -5) = 10w Reorder the terms: 40 + 5w + -1(-5 + 6w) = 10w 40 + 5w + (-5 * -1 + 6w * -1) = 10w 40 + 5w + (5 + -6w) = 10w Reorder the terms: 40 + 5 + 5w + -6w = 10w Combine like terms: 40 + 5 = 45 45 + 5w + -6w = 10w Combine like terms: 5w + -6w = -1w 45 + -1w = 10w Solving 45 + -1w = 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. 45 + -1w + -10w = 10w + -10w Combine like terms: -1w + -10w = -11w 45 + -11w = 10w + -10w Combine like terms: 10w + -10w = 0 45 + -11w = 0 Add '-45' to each side of the equation. 45 + -45 + -11w = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -11w = 0 + -45 -11w = 0 + -45 Combine like terms: 0 + -45 = -45 -11w = -45 Divide each side by '-11'. w = 4.090909091 Simplifying w = 4.090909091
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