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Simplifying 18 = 3w + 3(w + 8) Reorder the terms: 18 = 3w + 3(8 + w) 18 = 3w + (8 * 3 + w * 3) 18 = 3w + (24 + 3w) Reorder the terms: 18 = 24 + 3w + 3w Combine like terms: 3w + 3w = 6w 18 = 24 + 6w Solving 18 = 24 + 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 + -6w = 24 + 6w + -6w Combine like terms: 6w + -6w = 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 = 6 -6w = 6 Divide each side by '-6'. w = -1 Simplifying w = -1
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