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Simplifying 18 = 2(w + -3) + -6w Reorder the terms: 18 = 2(-3 + w) + -6w 18 = (-3 * 2 + w * 2) + -6w 18 = (-6 + 2w) + -6w Combine like terms: 2w + -6w = -4w 18 = -6 + -4w Solving 18 = -6 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 18 + 4w = -6 + -4w + 4w Combine like terms: -4w + 4w = 0 18 + 4w = -6 + 0 18 + 4w = -6 Add '-18' to each side of the equation. 18 + -18 + 4w = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 4w = -6 + -18 4w = -6 + -18 Combine like terms: -6 + -18 = -24 4w = -24 Divide each side by '4'. w = -6 Simplifying w = -6
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