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Simplifying 3(5w + -5) = 5(8 + -6W) Reorder the terms: 3(-5 + 5w) = 5(8 + -6W) (-5 * 3 + 5w * 3) = 5(8 + -6W) (-15 + 15w) = 5(8 + -6W) -15 + 15w = (8 * 5 + -6W * 5) -15 + 15w = (40 + -30W) Solving -15 + 15w = 40 + -30W Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 15w = 40 + 15 + -30W Combine like terms: -15 + 15 = 0 0 + 15w = 40 + 15 + -30W 15w = 40 + 15 + -30W Combine like terms: 40 + 15 = 55 15w = 55 + -30W Divide each side by '15'. w = 3.666666667 + -2W Simplifying w = 3.666666667 + -2W
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