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Simplifying 8 = 4(w + 3) + -8w Reorder the terms: 8 = 4(3 + w) + -8w 8 = (3 * 4 + w * 4) + -8w 8 = (12 + 4w) + -8w Combine like terms: 4w + -8w = -4w 8 = 12 + -4w Solving 8 = 12 + -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. 8 + 4w = 12 + -4w + 4w Combine like terms: -4w + 4w = 0 8 + 4w = 12 + 0 8 + 4w = 12 Add '-8' to each side of the equation. 8 + -8 + 4w = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4w = 12 + -8 4w = 12 + -8 Combine like terms: 12 + -8 = 4 4w = 4 Divide each side by '4'. w = 1 Simplifying w = 1
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