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Simplifying 10 + 6n + 7n = 7n + 8n Combine like terms: 6n + 7n = 13n 10 + 13n = 7n + 8n Combine like terms: 7n + 8n = 15n 10 + 13n = 15n Solving 10 + 13n = 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 10 + 13n + -15n = 15n + -15n Combine like terms: 13n + -15n = -2n 10 + -2n = 15n + -15n Combine like terms: 15n + -15n = 0 10 + -2n = 0 Add '-10' to each side of the equation. 10 + -10 + -2n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = 0 + -10 -2n = 0 + -10 Combine like terms: 0 + -10 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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