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Simplifying 7n + 5(-6n + 5) = 140 Reorder the terms: 7n + 5(5 + -6n) = 140 7n + (5 * 5 + -6n * 5) = 140 7n + (25 + -30n) = 140 Reorder the terms: 25 + 7n + -30n = 140 Combine like terms: 7n + -30n = -23n 25 + -23n = 140 Solving 25 + -23n = 140 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -23n = 140 + -25 Combine like terms: 25 + -25 = 0 0 + -23n = 140 + -25 -23n = 140 + -25 Combine like terms: 140 + -25 = 115 -23n = 115 Divide each side by '-23'. n = -5 Simplifying n = -5
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