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Simplifying -2(w + 5) + 28 = 4(3 + -1w) Reorder the terms: -2(5 + w) + 28 = 4(3 + -1w) (5 * -2 + w * -2) + 28 = 4(3 + -1w) (-10 + -2w) + 28 = 4(3 + -1w) Reorder the terms: -10 + 28 + -2w = 4(3 + -1w) Combine like terms: -10 + 28 = 18 18 + -2w = 4(3 + -1w) 18 + -2w = (3 * 4 + -1w * 4) 18 + -2w = (12 + -4w) Solving 18 + -2w = 12 + -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 + -2w + 4w = 12 + -4w + 4w Combine like terms: -2w + 4w = 2w 18 + 2w = 12 + -4w + 4w Combine like terms: -4w + 4w = 0 18 + 2w = 12 + 0 18 + 2w = 12 Add '-18' to each side of the equation. 18 + -18 + 2w = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 2w = 12 + -18 2w = 12 + -18 Combine like terms: 12 + -18 = -6 2w = -6 Divide each side by '2'. w = -3 Simplifying w = -3
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