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Simplifying 9w + -7 = -2(w + 9) Reorder the terms: -7 + 9w = -2(w + 9) Reorder the terms: -7 + 9w = -2(9 + w) -7 + 9w = (9 * -2 + w * -2) -7 + 9w = (-18 + -2w) Solving -7 + 9w = -18 + -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. -7 + 9w + 2w = -18 + -2w + 2w Combine like terms: 9w + 2w = 11w -7 + 11w = -18 + -2w + 2w Combine like terms: -2w + 2w = 0 -7 + 11w = -18 + 0 -7 + 11w = -18 Add '7' to each side of the equation. -7 + 7 + 11w = -18 + 7 Combine like terms: -7 + 7 = 0 0 + 11w = -18 + 7 11w = -18 + 7 Combine like terms: -18 + 7 = -11 11w = -11 Divide each side by '11'. w = -1 Simplifying w = -1
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