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