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Simplifying -2(-5w + 15) + 3w = 48 Reorder the terms: -2(15 + -5w) + 3w = 48 (15 * -2 + -5w * -2) + 3w = 48 (-30 + 10w) + 3w = 48 Combine like terms: 10w + 3w = 13w -30 + 13w = 48 Solving -30 + 13w = 48 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 13w = 48 + 30 Combine like terms: -30 + 30 = 0 0 + 13w = 48 + 30 13w = 48 + 30 Combine like terms: 48 + 30 = 78 13w = 78 Divide each side by '13'. w = 6 Simplifying w = 6
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