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Simplifying -2(w + 4) = 9w + 3 Reorder the terms: -2(4 + w) = 9w + 3 (4 * -2 + w * -2) = 9w + 3 (-8 + -2w) = 9w + 3 Reorder the terms: -8 + -2w = 3 + 9w Solving -8 + -2w = 3 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -8 + -2w + -9w = 3 + 9w + -9w Combine like terms: -2w + -9w = -11w -8 + -11w = 3 + 9w + -9w Combine like terms: 9w + -9w = 0 -8 + -11w = 3 + 0 -8 + -11w = 3 Add '8' to each side of the equation. -8 + 8 + -11w = 3 + 8 Combine like terms: -8 + 8 = 0 0 + -11w = 3 + 8 -11w = 3 + 8 Combine like terms: 3 + 8 = 11 -11w = 11 Divide each side by '-11'. w = -1 Simplifying w = -1
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