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Simplifying 7(w + -9) = 9w Reorder the terms: 7(-9 + w) = 9w (-9 * 7 + w * 7) = 9w (-63 + 7w) = 9w Solving -63 + 7w = 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. -63 + 7w + -9w = 9w + -9w Combine like terms: 7w + -9w = -2w -63 + -2w = 9w + -9w Combine like terms: 9w + -9w = 0 -63 + -2w = 0 Add '63' to each side of the equation. -63 + 63 + -2w = 0 + 63 Combine like terms: -63 + 63 = 0 0 + -2w = 0 + 63 -2w = 0 + 63 Combine like terms: 0 + 63 = 63 -2w = 63 Divide each side by '-2'. w = -31.5 Simplifying w = -31.5
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