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Simplifying -2(w + 9) = 3w + 2 Reorder the terms: -2(9 + w) = 3w + 2 (9 * -2 + w * -2) = 3w + 2 (-18 + -2w) = 3w + 2 Reorder the terms: -18 + -2w = 2 + 3w Solving -18 + -2w = 2 + 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 + -2w + -3w = 2 + 3w + -3w Combine like terms: -2w + -3w = -5w -18 + -5w = 2 + 3w + -3w Combine like terms: 3w + -3w = 0 -18 + -5w = 2 + 0 -18 + -5w = 2 Add '18' to each side of the equation. -18 + 18 + -5w = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -5w = 2 + 18 -5w = 2 + 18 Combine like terms: 2 + 18 = 20 -5w = 20 Divide each side by '-5'. w = -4 Simplifying w = -4
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