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