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Simplifying -9w + -21 = 2(w + 6) Reorder the terms: -21 + -9w = 2(w + 6) Reorder the terms: -21 + -9w = 2(6 + w) -21 + -9w = (6 * 2 + w * 2) -21 + -9w = (12 + 2w) Solving -21 + -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. -21 + -9w + -2w = 12 + 2w + -2w Combine like terms: -9w + -2w = -11w -21 + -11w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 -21 + -11w = 12 + 0 -21 + -11w = 12 Add '21' to each side of the equation. -21 + 21 + -11w = 12 + 21 Combine like terms: -21 + 21 = 0 0 + -11w = 12 + 21 -11w = 12 + 21 Combine like terms: 12 + 21 = 33 -11w = 33 Divide each side by '-11'. w = -3 Simplifying w = -3
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