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Simplifying 2(w + 9) = 7w + -2 Reorder the terms: 2(9 + w) = 7w + -2 (9 * 2 + w * 2) = 7w + -2 (18 + 2w) = 7w + -2 Reorder the terms: 18 + 2w = -2 + 7w Solving 18 + 2w = -2 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 18 + 2w + -7w = -2 + 7w + -7w Combine like terms: 2w + -7w = -5w 18 + -5w = -2 + 7w + -7w Combine like terms: 7w + -7w = 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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