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Simplifying -4w + 18 = -2(w + 1) Reorder the terms: 18 + -4w = -2(w + 1) Reorder the terms: 18 + -4w = -2(1 + w) 18 + -4w = (1 * -2 + w * -2) 18 + -4w = (-2 + -2w) Solving 18 + -4w = -2 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 18 + -4w + 2w = -2 + -2w + 2w Combine like terms: -4w + 2w = -2w 18 + -2w = -2 + -2w + 2w Combine like terms: -2w + 2w = 0 18 + -2w = -2 + 0 18 + -2w = -2 Add '-18' to each side of the equation. 18 + -18 + -2w = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -2w = -2 + -18 -2w = -2 + -18 Combine like terms: -2 + -18 = -20 -2w = -20 Divide each side by '-2'. w = 10 Simplifying w = 10
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