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Simplifying 2(w + 9) = -2(7w + -6) + w Reorder the terms: 2(9 + w) = -2(7w + -6) + w (9 * 2 + w * 2) = -2(7w + -6) + w (18 + 2w) = -2(7w + -6) + w Reorder the terms: 18 + 2w = -2(-6 + 7w) + w 18 + 2w = (-6 * -2 + 7w * -2) + w 18 + 2w = (12 + -14w) + w Combine like terms: -14w + w = -13w 18 + 2w = 12 + -13w Solving 18 + 2w = 12 + -13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13w' to each side of the equation. 18 + 2w + 13w = 12 + -13w + 13w Combine like terms: 2w + 13w = 15w 18 + 15w = 12 + -13w + 13w Combine like terms: -13w + 13w = 0 18 + 15w = 12 + 0 18 + 15w = 12 Add '-18' to each side of the equation. 18 + -18 + 15w = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 15w = 12 + -18 15w = 12 + -18 Combine like terms: 12 + -18 = -6 15w = -6 Divide each side by '15'. w = -0.4 Simplifying w = -0.4
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