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Simplifying -18 = 6(w + 3) + -2w Reorder the terms: -18 = 6(3 + w) + -2w -18 = (3 * 6 + w * 6) + -2w -18 = (18 + 6w) + -2w Combine like terms: 6w + -2w = 4w -18 = 18 + 4w Solving -18 = 18 + 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 = 18 + 4w + -4w Combine like terms: 4w + -4w = 0 -18 + -4w = 18 + 0 -18 + -4w = 18 Add '18' to each side of the equation. -18 + 18 + -4w = 18 + 18 Combine like terms: -18 + 18 = 0 0 + -4w = 18 + 18 -4w = 18 + 18 Combine like terms: 18 + 18 = 36 -4w = 36 Divide each side by '-4'. w = -9 Simplifying w = -9
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