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Simplifying 18 = 6w + 6(w + -3) Reorder the terms: 18 = 6w + 6(-3 + w) 18 = 6w + (-3 * 6 + w * 6) 18 = 6w + (-18 + 6w) Reorder the terms: 18 = -18 + 6w + 6w Combine like terms: 6w + 6w = 12w 18 = -18 + 12w Solving 18 = -18 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 18 + -12w = -18 + 12w + -12w Combine like terms: 12w + -12w = 0 18 + -12w = -18 + 0 18 + -12w = -18 Add '-18' to each side of the equation. 18 + -18 + -12w = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -12w = -18 + -18 -12w = -18 + -18 Combine like terms: -18 + -18 = -36 -12w = -36 Divide each side by '-12'. w = 3 Simplifying w = 3
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