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Simplifying 3(4w + -5) + w = 39 Reorder the terms: 3(-5 + 4w) + w = 39 (-5 * 3 + 4w * 3) + w = 39 (-15 + 12w) + w = 39 Combine like terms: 12w + w = 13w -15 + 13w = 39 Solving -15 + 13w = 39 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 + 13w = 39 + 15 Combine like terms: -15 + 15 = 0 0 + 13w = 39 + 15 13w = 39 + 15 Combine like terms: 39 + 15 = 54 13w = 54 Divide each side by '13'. w = 4.153846154 Simplifying w = 4.153846154
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