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Simplifying 5(w + -3) + -6 = -5(-5w + 7) + -8w Reorder the terms: 5(-3 + w) + -6 = -5(-5w + 7) + -8w (-3 * 5 + w * 5) + -6 = -5(-5w + 7) + -8w (-15 + 5w) + -6 = -5(-5w + 7) + -8w Reorder the terms: -15 + -6 + 5w = -5(-5w + 7) + -8w Combine like terms: -15 + -6 = -21 -21 + 5w = -5(-5w + 7) + -8w Reorder the terms: -21 + 5w = -5(7 + -5w) + -8w -21 + 5w = (7 * -5 + -5w * -5) + -8w -21 + 5w = (-35 + 25w) + -8w Combine like terms: 25w + -8w = 17w -21 + 5w = -35 + 17w Solving -21 + 5w = -35 + 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. -21 + 5w + -17w = -35 + 17w + -17w Combine like terms: 5w + -17w = -12w -21 + -12w = -35 + 17w + -17w Combine like terms: 17w + -17w = 0 -21 + -12w = -35 + 0 -21 + -12w = -35 Add '21' to each side of the equation. -21 + 21 + -12w = -35 + 21 Combine like terms: -21 + 21 = 0 0 + -12w = -35 + 21 -12w = -35 + 21 Combine like terms: -35 + 21 = -14 -12w = -14 Divide each side by '-12'. w = 1.166666667 Simplifying w = 1.166666667
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