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Simplifying 2(w + -5) + -7 = -4(-4w + 5) + -5w Reorder the terms: 2(-5 + w) + -7 = -4(-4w + 5) + -5w (-5 * 2 + w * 2) + -7 = -4(-4w + 5) + -5w (-10 + 2w) + -7 = -4(-4w + 5) + -5w Reorder the terms: -10 + -7 + 2w = -4(-4w + 5) + -5w Combine like terms: -10 + -7 = -17 -17 + 2w = -4(-4w + 5) + -5w Reorder the terms: -17 + 2w = -4(5 + -4w) + -5w -17 + 2w = (5 * -4 + -4w * -4) + -5w -17 + 2w = (-20 + 16w) + -5w Combine like terms: 16w + -5w = 11w -17 + 2w = -20 + 11w Solving -17 + 2w = -20 + 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. -17 + 2w + -11w = -20 + 11w + -11w Combine like terms: 2w + -11w = -9w -17 + -9w = -20 + 11w + -11w Combine like terms: 11w + -11w = 0 -17 + -9w = -20 + 0 -17 + -9w = -20 Add '17' to each side of the equation. -17 + 17 + -9w = -20 + 17 Combine like terms: -17 + 17 = 0 0 + -9w = -20 + 17 -9w = -20 + 17 Combine like terms: -20 + 17 = -3 -9w = -3 Divide each side by '-9'. w = 0.3333333333 Simplifying w = 0.3333333333
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