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Simplifying -3(-9w + 6) + -6w = 3(w + -8) + -2 Reorder the terms: -3(6 + -9w) + -6w = 3(w + -8) + -2 (6 * -3 + -9w * -3) + -6w = 3(w + -8) + -2 (-18 + 27w) + -6w = 3(w + -8) + -2 Combine like terms: 27w + -6w = 21w -18 + 21w = 3(w + -8) + -2 Reorder the terms: -18 + 21w = 3(-8 + w) + -2 -18 + 21w = (-8 * 3 + w * 3) + -2 -18 + 21w = (-24 + 3w) + -2 Reorder the terms: -18 + 21w = -24 + -2 + 3w Combine like terms: -24 + -2 = -26 -18 + 21w = -26 + 3w Solving -18 + 21w = -26 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -18 + 21w + -3w = -26 + 3w + -3w Combine like terms: 21w + -3w = 18w -18 + 18w = -26 + 3w + -3w Combine like terms: 3w + -3w = 0 -18 + 18w = -26 + 0 -18 + 18w = -26 Add '18' to each side of the equation. -18 + 18 + 18w = -26 + 18 Combine like terms: -18 + 18 = 0 0 + 18w = -26 + 18 18w = -26 + 18 Combine like terms: -26 + 18 = -8 18w = -8 Divide each side by '18'. w = -0.4444444444 Simplifying w = -0.4444444444
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