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Simplifying -1(-8 + 12w) = -4(2w + 20) (-8 * -1 + 12w * -1) = -4(2w + 20) (8 + -12w) = -4(2w + 20) Reorder the terms: 8 + -12w = -4(20 + 2w) 8 + -12w = (20 * -4 + 2w * -4) 8 + -12w = (-80 + -8w) Solving 8 + -12w = -80 + -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. 8 + -12w + 8w = -80 + -8w + 8w Combine like terms: -12w + 8w = -4w 8 + -4w = -80 + -8w + 8w Combine like terms: -8w + 8w = 0 8 + -4w = -80 + 0 8 + -4w = -80 Add '-8' to each side of the equation. 8 + -8 + -4w = -80 + -8 Combine like terms: 8 + -8 = 0 0 + -4w = -80 + -8 -4w = -80 + -8 Combine like terms: -80 + -8 = -88 -4w = -88 Divide each side by '-4'. w = 22 Simplifying w = 22
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