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Simplifying 3(w + 6) = 6(w + -6) Reorder the terms: 3(6 + w) = 6(w + -6) (6 * 3 + w * 3) = 6(w + -6) (18 + 3w) = 6(w + -6) Reorder the terms: 18 + 3w = 6(-6 + w) 18 + 3w = (-6 * 6 + w * 6) 18 + 3w = (-36 + 6w) Solving 18 + 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. 18 + 3w + -6w = -36 + 6w + -6w Combine like terms: 3w + -6w = -3w 18 + -3w = -36 + 6w + -6w Combine like terms: 6w + -6w = 0 18 + -3w = -36 + 0 18 + -3w = -36 Add '-18' to each side of the equation. 18 + -18 + -3w = -36 + -18 Combine like terms: 18 + -18 = 0 0 + -3w = -36 + -18 -3w = -36 + -18 Combine like terms: -36 + -18 = -54 -3w = -54 Divide each side by '-3'. w = 18 Simplifying w = 18
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