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Simplifying -4w + 28 = -8(w + -6) Reorder the terms: 28 + -4w = -8(w + -6) Reorder the terms: 28 + -4w = -8(-6 + w) 28 + -4w = (-6 * -8 + w * -8) 28 + -4w = (48 + -8w) Solving 28 + -4w = 48 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 28 + -4w + 8w = 48 + -8w + 8w Combine like terms: -4w + 8w = 4w 28 + 4w = 48 + -8w + 8w Combine like terms: -8w + 8w = 0 28 + 4w = 48 + 0 28 + 4w = 48 Add '-28' to each side of the equation. 28 + -28 + 4w = 48 + -28 Combine like terms: 28 + -28 = 0 0 + 4w = 48 + -28 4w = 48 + -28 Combine like terms: 48 + -28 = 20 4w = 20 Divide each side by '4'. w = 5 Simplifying w = 5
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