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Simplifying -9(w + -8) = -6w + 45 Reorder the terms: -9(-8 + w) = -6w + 45 (-8 * -9 + w * -9) = -6w + 45 (72 + -9w) = -6w + 45 Reorder the terms: 72 + -9w = 45 + -6w Solving 72 + -9w = 45 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 72 + -9w + 6w = 45 + -6w + 6w Combine like terms: -9w + 6w = -3w 72 + -3w = 45 + -6w + 6w Combine like terms: -6w + 6w = 0 72 + -3w = 45 + 0 72 + -3w = 45 Add '-72' to each side of the equation. 72 + -72 + -3w = 45 + -72 Combine like terms: 72 + -72 = 0 0 + -3w = 45 + -72 -3w = 45 + -72 Combine like terms: 45 + -72 = -27 -3w = -27 Divide each side by '-3'. w = 9 Simplifying w = 9
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