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Simplifying 12w + 4 = 4(2w + -4) Reorder the terms: 4 + 12w = 4(2w + -4) Reorder the terms: 4 + 12w = 4(-4 + 2w) 4 + 12w = (-4 * 4 + 2w * 4) 4 + 12w = (-16 + 8w) Solving 4 + 12w = -16 + 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. 4 + 12w + -8w = -16 + 8w + -8w Combine like terms: 12w + -8w = 4w 4 + 4w = -16 + 8w + -8w Combine like terms: 8w + -8w = 0 4 + 4w = -16 + 0 4 + 4w = -16 Add '-4' to each side of the equation. 4 + -4 + 4w = -16 + -4 Combine like terms: 4 + -4 = 0 0 + 4w = -16 + -4 4w = -16 + -4 Combine like terms: -16 + -4 = -20 4w = -20 Divide each side by '4'. w = -5 Simplifying w = -5
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