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Simplifying 6(5w + 2) + -3(2w + 3) = 4 Reorder the terms: 6(2 + 5w) + -3(2w + 3) = 4 (2 * 6 + 5w * 6) + -3(2w + 3) = 4 (12 + 30w) + -3(2w + 3) = 4 Reorder the terms: 12 + 30w + -3(3 + 2w) = 4 12 + 30w + (3 * -3 + 2w * -3) = 4 12 + 30w + (-9 + -6w) = 4 Reorder the terms: 12 + -9 + 30w + -6w = 4 Combine like terms: 12 + -9 = 3 3 + 30w + -6w = 4 Combine like terms: 30w + -6w = 24w 3 + 24w = 4 Solving 3 + 24w = 4 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 24w = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 24w = 4 + -3 24w = 4 + -3 Combine like terms: 4 + -3 = 1 24w = 1 Divide each side by '24'. w = 0.04166666667 Simplifying w = 0.04166666667
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