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Simplifying 9w + 18 = 3(w + -8) Reorder the terms: 18 + 9w = 3(w + -8) Reorder the terms: 18 + 9w = 3(-8 + w) 18 + 9w = (-8 * 3 + w * 3) 18 + 9w = (-24 + 3w) Solving 18 + 9w = -24 + 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. 18 + 9w + -3w = -24 + 3w + -3w Combine like terms: 9w + -3w = 6w 18 + 6w = -24 + 3w + -3w Combine like terms: 3w + -3w = 0 18 + 6w = -24 + 0 18 + 6w = -24 Add '-18' to each side of the equation. 18 + -18 + 6w = -24 + -18 Combine like terms: 18 + -18 = 0 0 + 6w = -24 + -18 6w = -24 + -18 Combine like terms: -24 + -18 = -42 6w = -42 Divide each side by '6'. w = -7 Simplifying w = -7
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