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Simplifying 8w + -20 = -2(2w + -8) Reorder the terms: -20 + 8w = -2(2w + -8) Reorder the terms: -20 + 8w = -2(-8 + 2w) -20 + 8w = (-8 * -2 + 2w * -2) -20 + 8w = (16 + -4w) Solving -20 + 8w = 16 + -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. -20 + 8w + 4w = 16 + -4w + 4w Combine like terms: 8w + 4w = 12w -20 + 12w = 16 + -4w + 4w Combine like terms: -4w + 4w = 0 -20 + 12w = 16 + 0 -20 + 12w = 16 Add '20' to each side of the equation. -20 + 20 + 12w = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 12w = 16 + 20 12w = 16 + 20 Combine like terms: 16 + 20 = 36 12w = 36 Divide each side by '12'. w = 3 Simplifying w = 3
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