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Simplifying -8w + -20 = 4(w + -8) Reorder the terms: -20 + -8w = 4(w + -8) Reorder the terms: -20 + -8w = 4(-8 + w) -20 + -8w = (-8 * 4 + w * 4) -20 + -8w = (-32 + 4w) Solving -20 + -8w = -32 + 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 = -32 + 4w + -4w Combine like terms: -8w + -4w = -12w -20 + -12w = -32 + 4w + -4w Combine like terms: 4w + -4w = 0 -20 + -12w = -32 + 0 -20 + -12w = -32 Add '20' to each side of the equation. -20 + 20 + -12w = -32 + 20 Combine like terms: -20 + 20 = 0 0 + -12w = -32 + 20 -12w = -32 + 20 Combine like terms: -32 + 20 = -12 -12w = -12 Divide each side by '-12'. w = 1 Simplifying w = 1
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