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Simplifying 5(w + -5) + -1(-6w + -7) = 10w Reorder the terms: 5(-5 + w) + -1(-6w + -7) = 10w (-5 * 5 + w * 5) + -1(-6w + -7) = 10w (-25 + 5w) + -1(-6w + -7) = 10w Reorder the terms: -25 + 5w + -1(-7 + -6w) = 10w -25 + 5w + (-7 * -1 + -6w * -1) = 10w -25 + 5w + (7 + 6w) = 10w Reorder the terms: -25 + 7 + 5w + 6w = 10w Combine like terms: -25 + 7 = -18 -18 + 5w + 6w = 10w Combine like terms: 5w + 6w = 11w -18 + 11w = 10w Solving -18 + 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. -18 + 11w + -10w = 10w + -10w Combine like terms: 11w + -10w = 1w -18 + 1w = 10w + -10w Combine like terms: 10w + -10w = 0 -18 + 1w = 0 Add '18' to each side of the equation. -18 + 18 + 1w = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 1w = 0 + 18 1w = 0 + 18 Combine like terms: 0 + 18 = 18 1w = 18 Divide each side by '1'. w = 18 Simplifying w = 18
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