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Simplifying 5(w + -4) + -1 = -5(-4w + 5) + -9w Reorder the terms: 5(-4 + w) + -1 = -5(-4w + 5) + -9w (-4 * 5 + w * 5) + -1 = -5(-4w + 5) + -9w (-20 + 5w) + -1 = -5(-4w + 5) + -9w Reorder the terms: -20 + -1 + 5w = -5(-4w + 5) + -9w Combine like terms: -20 + -1 = -21 -21 + 5w = -5(-4w + 5) + -9w Reorder the terms: -21 + 5w = -5(5 + -4w) + -9w -21 + 5w = (5 * -5 + -4w * -5) + -9w -21 + 5w = (-25 + 20w) + -9w Combine like terms: 20w + -9w = 11w -21 + 5w = -25 + 11w Solving -21 + 5w = -25 + 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. -21 + 5w + -11w = -25 + 11w + -11w Combine like terms: 5w + -11w = -6w -21 + -6w = -25 + 11w + -11w Combine like terms: 11w + -11w = 0 -21 + -6w = -25 + 0 -21 + -6w = -25 Add '21' to each side of the equation. -21 + 21 + -6w = -25 + 21 Combine like terms: -21 + 21 = 0 0 + -6w = -25 + 21 -6w = -25 + 21 Combine like terms: -25 + 21 = -4 -6w = -4 Divide each side by '-6'. w = 0.6666666667 Simplifying w = 0.6666666667
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