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Simplifying 9w + 43 = -2(w + 6) Reorder the terms: 43 + 9w = -2(w + 6) Reorder the terms: 43 + 9w = -2(6 + w) 43 + 9w = (6 * -2 + w * -2) 43 + 9w = (-12 + -2w) Solving 43 + 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. 43 + 9w + 2w = -12 + -2w + 2w Combine like terms: 9w + 2w = 11w 43 + 11w = -12 + -2w + 2w Combine like terms: -2w + 2w = 0 43 + 11w = -12 + 0 43 + 11w = -12 Add '-43' to each side of the equation. 43 + -43 + 11w = -12 + -43 Combine like terms: 43 + -43 = 0 0 + 11w = -12 + -43 11w = -12 + -43 Combine like terms: -12 + -43 = -55 11w = -55 Divide each side by '11'. w = -5 Simplifying w = -5
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