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Simplifying 3(4w + -6) + -3(w + 2) = 0 Reorder the terms: 3(-6 + 4w) + -3(w + 2) = 0 (-6 * 3 + 4w * 3) + -3(w + 2) = 0 (-18 + 12w) + -3(w + 2) = 0 Reorder the terms: -18 + 12w + -3(2 + w) = 0 -18 + 12w + (2 * -3 + w * -3) = 0 -18 + 12w + (-6 + -3w) = 0 Reorder the terms: -18 + -6 + 12w + -3w = 0 Combine like terms: -18 + -6 = -24 -24 + 12w + -3w = 0 Combine like terms: 12w + -3w = 9w -24 + 9w = 0 Solving -24 + 9w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 9w = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 9w = 0 + 24 9w = 0 + 24 Combine like terms: 0 + 24 = 24 9w = 24 Divide each side by '9'. w = 2.666666667 Simplifying w = 2.666666667
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