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Simplifying 8n + 11 = 5(3n + -2) Reorder the terms: 11 + 8n = 5(3n + -2) Reorder the terms: 11 + 8n = 5(-2 + 3n) 11 + 8n = (-2 * 5 + 3n * 5) 11 + 8n = (-10 + 15n) Solving 11 + 8n = -10 + 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. 11 + 8n + -15n = -10 + 15n + -15n Combine like terms: 8n + -15n = -7n 11 + -7n = -10 + 15n + -15n Combine like terms: 15n + -15n = 0 11 + -7n = -10 + 0 11 + -7n = -10 Add '-11' to each side of the equation. 11 + -11 + -7n = -10 + -11 Combine like terms: 11 + -11 = 0 0 + -7n = -10 + -11 -7n = -10 + -11 Combine like terms: -10 + -11 = -21 -7n = -21 Divide each side by '-7'. n = 3 Simplifying n = 3
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