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Simplifying 3(w + -6) + -8 = -5(-3w + 2) + -6w Reorder the terms: 3(-6 + w) + -8 = -5(-3w + 2) + -6w (-6 * 3 + w * 3) + -8 = -5(-3w + 2) + -6w (-18 + 3w) + -8 = -5(-3w + 2) + -6w Reorder the terms: -18 + -8 + 3w = -5(-3w + 2) + -6w Combine like terms: -18 + -8 = -26 -26 + 3w = -5(-3w + 2) + -6w Reorder the terms: -26 + 3w = -5(2 + -3w) + -6w -26 + 3w = (2 * -5 + -3w * -5) + -6w -26 + 3w = (-10 + 15w) + -6w Combine like terms: 15w + -6w = 9w -26 + 3w = -10 + 9w Solving -26 + 3w = -10 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -26 + 3w + -9w = -10 + 9w + -9w Combine like terms: 3w + -9w = -6w -26 + -6w = -10 + 9w + -9w Combine like terms: 9w + -9w = 0 -26 + -6w = -10 + 0 -26 + -6w = -10 Add '26' to each side of the equation. -26 + 26 + -6w = -10 + 26 Combine like terms: -26 + 26 = 0 0 + -6w = -10 + 26 -6w = -10 + 26 Combine like terms: -10 + 26 = 16 -6w = 16 Divide each side by '-6'. w = -2.666666667 Simplifying w = -2.666666667
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