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Simplifying 9w + 40 = -2(w + 2) Reorder the terms: 40 + 9w = -2(w + 2) Reorder the terms: 40 + 9w = -2(2 + w) 40 + 9w = (2 * -2 + w * -2) 40 + 9w = (-4 + -2w) Solving 40 + 9w = -4 + -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. 40 + 9w + 2w = -4 + -2w + 2w Combine like terms: 9w + 2w = 11w 40 + 11w = -4 + -2w + 2w Combine like terms: -2w + 2w = 0 40 + 11w = -4 + 0 40 + 11w = -4 Add '-40' to each side of the equation. 40 + -40 + 11w = -4 + -40 Combine like terms: 40 + -40 = 0 0 + 11w = -4 + -40 11w = -4 + -40 Combine like terms: -4 + -40 = -44 11w = -44 Divide each side by '11'. w = -4 Simplifying w = -4
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