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Simplifying 6(w + -3) + -2 = -5(-6w + 5) + -9w Reorder the terms: 6(-3 + w) + -2 = -5(-6w + 5) + -9w (-3 * 6 + w * 6) + -2 = -5(-6w + 5) + -9w (-18 + 6w) + -2 = -5(-6w + 5) + -9w Reorder the terms: -18 + -2 + 6w = -5(-6w + 5) + -9w Combine like terms: -18 + -2 = -20 -20 + 6w = -5(-6w + 5) + -9w Reorder the terms: -20 + 6w = -5(5 + -6w) + -9w -20 + 6w = (5 * -5 + -6w * -5) + -9w -20 + 6w = (-25 + 30w) + -9w Combine like terms: 30w + -9w = 21w -20 + 6w = -25 + 21w Solving -20 + 6w = -25 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. -20 + 6w + -21w = -25 + 21w + -21w Combine like terms: 6w + -21w = -15w -20 + -15w = -25 + 21w + -21w Combine like terms: 21w + -21w = 0 -20 + -15w = -25 + 0 -20 + -15w = -25 Add '20' to each side of the equation. -20 + 20 + -15w = -25 + 20 Combine like terms: -20 + 20 = 0 0 + -15w = -25 + 20 -15w = -25 + 20 Combine like terms: -25 + 20 = -5 -15w = -5 Divide each side by '-15'. w = 0.3333333333 Simplifying w = 0.3333333333
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