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Simplifying -9(w + 6) = 2w + 45 Reorder the terms: -9(6 + w) = 2w + 45 (6 * -9 + w * -9) = 2w + 45 (-54 + -9w) = 2w + 45 Reorder the terms: -54 + -9w = 45 + 2w Solving -54 + -9w = 45 + 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. -54 + -9w + -2w = 45 + 2w + -2w Combine like terms: -9w + -2w = -11w -54 + -11w = 45 + 2w + -2w Combine like terms: 2w + -2w = 0 -54 + -11w = 45 + 0 -54 + -11w = 45 Add '54' to each side of the equation. -54 + 54 + -11w = 45 + 54 Combine like terms: -54 + 54 = 0 0 + -11w = 45 + 54 -11w = 45 + 54 Combine like terms: 45 + 54 = 99 -11w = 99 Divide each side by '-11'. w = -9 Simplifying w = -9
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