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Simplifying 2w + 9 + -3(-6w + -1) = 2(w + -1) Reorder the terms: 2w + 9 + -3(-1 + -6w) = 2(w + -1) 2w + 9 + (-1 * -3 + -6w * -3) = 2(w + -1) 2w + 9 + (3 + 18w) = 2(w + -1) Reorder the terms: 9 + 3 + 2w + 18w = 2(w + -1) Combine like terms: 9 + 3 = 12 12 + 2w + 18w = 2(w + -1) Combine like terms: 2w + 18w = 20w 12 + 20w = 2(w + -1) Reorder the terms: 12 + 20w = 2(-1 + w) 12 + 20w = (-1 * 2 + w * 2) 12 + 20w = (-2 + 2w) Solving 12 + 20w = -2 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 12 + 20w + -2w = -2 + 2w + -2w Combine like terms: 20w + -2w = 18w 12 + 18w = -2 + 2w + -2w Combine like terms: 2w + -2w = 0 12 + 18w = -2 + 0 12 + 18w = -2 Add '-12' to each side of the equation. 12 + -12 + 18w = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 18w = -2 + -12 18w = -2 + -12 Combine like terms: -2 + -12 = -14 18w = -14 Divide each side by '18'. w = -0.7777777778 Simplifying w = -0.7777777778
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