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Simplifying 7w + -12 + 6w + -14 = 39 Reorder the terms: -12 + -14 + 7w + 6w = 39 Combine like terms: -12 + -14 = -26 -26 + 7w + 6w = 39 Combine like terms: 7w + 6w = 13w -26 + 13w = 39 Solving -26 + 13w = 39 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 13w = 39 + 26 Combine like terms: -26 + 26 = 0 0 + 13w = 39 + 26 13w = 39 + 26 Combine like terms: 39 + 26 = 65 13w = 65 Divide each side by '13'. w = 5 Simplifying w = 5
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