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Simplifying -4w + 20 = -2(w + -8) Reorder the terms: 20 + -4w = -2(w + -8) Reorder the terms: 20 + -4w = -2(-8 + w) 20 + -4w = (-8 * -2 + w * -2) 20 + -4w = (16 + -2w) Solving 20 + -4w = 16 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 20 + -4w + 2w = 16 + -2w + 2w Combine like terms: -4w + 2w = -2w 20 + -2w = 16 + -2w + 2w Combine like terms: -2w + 2w = 0 20 + -2w = 16 + 0 20 + -2w = 16 Add '-20' to each side of the equation. 20 + -20 + -2w = 16 + -20 Combine like terms: 20 + -20 = 0 0 + -2w = 16 + -20 -2w = 16 + -20 Combine like terms: 16 + -20 = -4 -2w = -4 Divide each side by '-2'. w = 2 Simplifying w = 2
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