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Simplifying 3(w + 3) = 6(w + -6) Reorder the terms: 3(3 + w) = 6(w + -6) (3 * 3 + w * 3) = 6(w + -6) (9 + 3w) = 6(w + -6) Reorder the terms: 9 + 3w = 6(-6 + w) 9 + 3w = (-6 * 6 + w * 6) 9 + 3w = (-36 + 6w) Solving 9 + 3w = -36 + 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. 9 + 3w + -6w = -36 + 6w + -6w Combine like terms: 3w + -6w = -3w 9 + -3w = -36 + 6w + -6w Combine like terms: 6w + -6w = 0 9 + -3w = -36 + 0 9 + -3w = -36 Add '-9' to each side of the equation. 9 + -9 + -3w = -36 + -9 Combine like terms: 9 + -9 = 0 0 + -3w = -36 + -9 -3w = -36 + -9 Combine like terms: -36 + -9 = -45 -3w = -45 Divide each side by '-3'. w = 15 Simplifying w = 15
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