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Simplifying 9 = -6w + 3(w + -6) Reorder the terms: 9 = -6w + 3(-6 + w) 9 = -6w + (-6 * 3 + w * 3) 9 = -6w + (-18 + 3w) Reorder the terms: 9 = -18 + -6w + 3w Combine like terms: -6w + 3w = -3w 9 = -18 + -3w Solving 9 = -18 + -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. 9 + 3w = -18 + -3w + 3w Combine like terms: -3w + 3w = 0 9 + 3w = -18 + 0 9 + 3w = -18 Add '-9' to each side of the equation. 9 + -9 + 3w = -18 + -9 Combine like terms: 9 + -9 = 0 0 + 3w = -18 + -9 3w = -18 + -9 Combine like terms: -18 + -9 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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