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