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Simplifying 3(5w + -1) + 5(3w + 2) = 7 Reorder the terms: 3(-1 + 5w) + 5(3w + 2) = 7 (-1 * 3 + 5w * 3) + 5(3w + 2) = 7 (-3 + 15w) + 5(3w + 2) = 7 Reorder the terms: -3 + 15w + 5(2 + 3w) = 7 -3 + 15w + (2 * 5 + 3w * 5) = 7 -3 + 15w + (10 + 15w) = 7 Reorder the terms: -3 + 10 + 15w + 15w = 7 Combine like terms: -3 + 10 = 7 7 + 15w + 15w = 7 Combine like terms: 15w + 15w = 30w 7 + 30w = 7 Add '-7' to each side of the equation. 7 + -7 + 30w = 7 + -7 Combine like terms: 7 + -7 = 0 0 + 30w = 7 + -7 30w = 7 + -7 Combine like terms: 7 + -7 = 0 30w = 0 Solving 30w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Divide each side by '30'. w = 0.0 Simplifying w = 0.0
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