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Simplifying 7n + 10 = 6n + 8n + 3 Reorder the terms: 10 + 7n = 6n + 8n + 3 Reorder the terms: 10 + 7n = 3 + 6n + 8n Combine like terms: 6n + 8n = 14n 10 + 7n = 3 + 14n Solving 10 + 7n = 3 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 10 + 7n + -14n = 3 + 14n + -14n Combine like terms: 7n + -14n = -7n 10 + -7n = 3 + 14n + -14n Combine like terms: 14n + -14n = 0 10 + -7n = 3 + 0 10 + -7n = 3 Add '-10' to each side of the equation. 10 + -10 + -7n = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -7n = 3 + -10 -7n = 3 + -10 Combine like terms: 3 + -10 = -7 -7n = -7 Divide each side by '-7'. n = 1 Simplifying n = 1
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