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Simplifying -6(w + -9) = 3w + -9 Reorder the terms: -6(-9 + w) = 3w + -9 (-9 * -6 + w * -6) = 3w + -9 (54 + -6w) = 3w + -9 Reorder the terms: 54 + -6w = -9 + 3w Solving 54 + -6w = -9 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 54 + -6w + -3w = -9 + 3w + -3w Combine like terms: -6w + -3w = -9w 54 + -9w = -9 + 3w + -3w Combine like terms: 3w + -3w = 0 54 + -9w = -9 + 0 54 + -9w = -9 Add '-54' to each side of the equation. 54 + -54 + -9w = -9 + -54 Combine like terms: 54 + -54 = 0 0 + -9w = -9 + -54 -9w = -9 + -54 Combine like terms: -9 + -54 = -63 -9w = -63 Divide each side by '-9'. w = 7 Simplifying w = 7
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