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Simplifying -15n + -8n + 10 = 13n + -6n + -14 Reorder the terms: 10 + -15n + -8n = 13n + -6n + -14 Combine like terms: -15n + -8n = -23n 10 + -23n = 13n + -6n + -14 Reorder the terms: 10 + -23n = -14 + 13n + -6n Combine like terms: 13n + -6n = 7n 10 + -23n = -14 + 7n Solving 10 + -23n = -14 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 10 + -23n + -7n = -14 + 7n + -7n Combine like terms: -23n + -7n = -30n 10 + -30n = -14 + 7n + -7n Combine like terms: 7n + -7n = 0 10 + -30n = -14 + 0 10 + -30n = -14 Add '-10' to each side of the equation. 10 + -10 + -30n = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -30n = -14 + -10 -30n = -14 + -10 Combine like terms: -14 + -10 = -24 -30n = -24 Divide each side by '-30'. n = 0.8 Simplifying n = 0.8
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