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Simplifying 4(3w + 1) = 6 + 9w Reorder the terms: 4(1 + 3w) = 6 + 9w (1 * 4 + 3w * 4) = 6 + 9w (4 + 12w) = 6 + 9w Solving 4 + 12w = 6 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 4 + 12w + -9w = 6 + 9w + -9w Combine like terms: 12w + -9w = 3w 4 + 3w = 6 + 9w + -9w Combine like terms: 9w + -9w = 0 4 + 3w = 6 + 0 4 + 3w = 6 Add '-4' to each side of the equation. 4 + -4 + 3w = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 3w = 6 + -4 3w = 6 + -4 Combine like terms: 6 + -4 = 2 3w = 2 Divide each side by '3'. w = 0.6666666667 Simplifying w = 0.6666666667
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