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Simplifying 9(w + -9) = 8(w + -6) Reorder the terms: 9(-9 + w) = 8(w + -6) (-9 * 9 + w * 9) = 8(w + -6) (-81 + 9w) = 8(w + -6) Reorder the terms: -81 + 9w = 8(-6 + w) -81 + 9w = (-6 * 8 + w * 8) -81 + 9w = (-48 + 8w) Solving -81 + 9w = -48 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -81 + 9w + -8w = -48 + 8w + -8w Combine like terms: 9w + -8w = 1w -81 + 1w = -48 + 8w + -8w Combine like terms: 8w + -8w = 0 -81 + 1w = -48 + 0 -81 + 1w = -48 Add '81' to each side of the equation. -81 + 81 + 1w = -48 + 81 Combine like terms: -81 + 81 = 0 0 + 1w = -48 + 81 1w = -48 + 81 Combine like terms: -48 + 81 = 33 1w = 33 Divide each side by '1'. w = 33 Simplifying w = 33
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