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Simplifying 8w + -28 = -4(w + -5) Reorder the terms: -28 + 8w = -4(w + -5) Reorder the terms: -28 + 8w = -4(-5 + w) -28 + 8w = (-5 * -4 + w * -4) -28 + 8w = (20 + -4w) Solving -28 + 8w = 20 + -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. -28 + 8w + 4w = 20 + -4w + 4w Combine like terms: 8w + 4w = 12w -28 + 12w = 20 + -4w + 4w Combine like terms: -4w + 4w = 0 -28 + 12w = 20 + 0 -28 + 12w = 20 Add '28' to each side of the equation. -28 + 28 + 12w = 20 + 28 Combine like terms: -28 + 28 = 0 0 + 12w = 20 + 28 12w = 20 + 28 Combine like terms: 20 + 28 = 48 12w = 48 Divide each side by '12'. w = 4 Simplifying w = 4
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