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Simplifying -8(w + -5) = 4w + -20 Reorder the terms: -8(-5 + w) = 4w + -20 (-5 * -8 + w * -8) = 4w + -20 (40 + -8w) = 4w + -20 Reorder the terms: 40 + -8w = -20 + 4w Solving 40 + -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. 40 + -8w + -4w = -20 + 4w + -4w Combine like terms: -8w + -4w = -12w 40 + -12w = -20 + 4w + -4w Combine like terms: 4w + -4w = 0 40 + -12w = -20 + 0 40 + -12w = -20 Add '-40' to each side of the equation. 40 + -40 + -12w = -20 + -40 Combine like terms: 40 + -40 = 0 0 + -12w = -20 + -40 -12w = -20 + -40 Combine like terms: -20 + -40 = -60 -12w = -60 Divide each side by '-12'. w = 5 Simplifying w = 5
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