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Simplifying -3(-6w + 9) + -1w = 5(w + -2) + -3 Reorder the terms: -3(9 + -6w) + -1w = 5(w + -2) + -3 (9 * -3 + -6w * -3) + -1w = 5(w + -2) + -3 (-27 + 18w) + -1w = 5(w + -2) + -3 Combine like terms: 18w + -1w = 17w -27 + 17w = 5(w + -2) + -3 Reorder the terms: -27 + 17w = 5(-2 + w) + -3 -27 + 17w = (-2 * 5 + w * 5) + -3 -27 + 17w = (-10 + 5w) + -3 Reorder the terms: -27 + 17w = -10 + -3 + 5w Combine like terms: -10 + -3 = -13 -27 + 17w = -13 + 5w Solving -27 + 17w = -13 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -27 + 17w + -5w = -13 + 5w + -5w Combine like terms: 17w + -5w = 12w -27 + 12w = -13 + 5w + -5w Combine like terms: 5w + -5w = 0 -27 + 12w = -13 + 0 -27 + 12w = -13 Add '27' to each side of the equation. -27 + 27 + 12w = -13 + 27 Combine like terms: -27 + 27 = 0 0 + 12w = -13 + 27 12w = -13 + 27 Combine like terms: -13 + 27 = 14 12w = 14 Divide each side by '12'. w = 1.166666667 Simplifying w = 1.166666667
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