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Simplifying 9w + -1 = -2(w + 6) Reorder the terms: -1 + 9w = -2(w + 6) Reorder the terms: -1 + 9w = -2(6 + w) -1 + 9w = (6 * -2 + w * -2) -1 + 9w = (-12 + -2w) Solving -1 + 9w = -12 + -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. -1 + 9w + 2w = -12 + -2w + 2w Combine like terms: 9w + 2w = 11w -1 + 11w = -12 + -2w + 2w Combine like terms: -2w + 2w = 0 -1 + 11w = -12 + 0 -1 + 11w = -12 Add '1' to each side of the equation. -1 + 1 + 11w = -12 + 1 Combine like terms: -1 + 1 = 0 0 + 11w = -12 + 1 11w = -12 + 1 Combine like terms: -12 + 1 = -11 11w = -11 Divide each side by '11'. w = -1 Simplifying w = -1
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