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Simplifying -2(9w + -1) + 9w = 3(w + 4) Reorder the terms: -2(-1 + 9w) + 9w = 3(w + 4) (-1 * -2 + 9w * -2) + 9w = 3(w + 4) (2 + -18w) + 9w = 3(w + 4) Combine like terms: -18w + 9w = -9w 2 + -9w = 3(w + 4) Reorder the terms: 2 + -9w = 3(4 + w) 2 + -9w = (4 * 3 + w * 3) 2 + -9w = (12 + 3w) Solving 2 + -9w = 12 + 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. 2 + -9w + -3w = 12 + 3w + -3w Combine like terms: -9w + -3w = -12w 2 + -12w = 12 + 3w + -3w Combine like terms: 3w + -3w = 0 2 + -12w = 12 + 0 2 + -12w = 12 Add '-2' to each side of the equation. 2 + -2 + -12w = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -12w = 12 + -2 -12w = 12 + -2 Combine like terms: 12 + -2 = 10 -12w = 10 Divide each side by '-12'. w = -0.8333333333 Simplifying w = -0.8333333333
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