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Simplifying 3(2w + -1) + 9(w + 3) = 0 Reorder the terms: 3(-1 + 2w) + 9(w + 3) = 0 (-1 * 3 + 2w * 3) + 9(w + 3) = 0 (-3 + 6w) + 9(w + 3) = 0 Reorder the terms: -3 + 6w + 9(3 + w) = 0 -3 + 6w + (3 * 9 + w * 9) = 0 -3 + 6w + (27 + 9w) = 0 Reorder the terms: -3 + 27 + 6w + 9w = 0 Combine like terms: -3 + 27 = 24 24 + 6w + 9w = 0 Combine like terms: 6w + 9w = 15w 24 + 15w = 0 Solving 24 + 15w = 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 + 15w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 15w = 0 + -24 15w = 0 + -24 Combine like terms: 0 + -24 = -24 15w = -24 Divide each side by '15'. w = -1.6 Simplifying w = -1.6
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