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Simplifying 9(w + -6) = -2w + -21 Reorder the terms: 9(-6 + w) = -2w + -21 (-6 * 9 + w * 9) = -2w + -21 (-54 + 9w) = -2w + -21 Reorder the terms: -54 + 9w = -21 + -2w Solving -54 + 9w = -21 + -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 = -21 + -2w + 2w Combine like terms: 9w + 2w = 11w -54 + 11w = -21 + -2w + 2w Combine like terms: -2w + 2w = 0 -54 + 11w = -21 + 0 -54 + 11w = -21 Add '54' to each side of the equation. -54 + 54 + 11w = -21 + 54 Combine like terms: -54 + 54 = 0 0 + 11w = -21 + 54 11w = -21 + 54 Combine like terms: -21 + 54 = 33 11w = 33 Divide each side by '11'. w = 3 Simplifying w = 3
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