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Simplifying 8n + 10 = 2(3n + -13) Reorder the terms: 10 + 8n = 2(3n + -13) Reorder the terms: 10 + 8n = 2(-13 + 3n) 10 + 8n = (-13 * 2 + 3n * 2) 10 + 8n = (-26 + 6n) Solving 10 + 8n = -26 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 10 + 8n + -6n = -26 + 6n + -6n Combine like terms: 8n + -6n = 2n 10 + 2n = -26 + 6n + -6n Combine like terms: 6n + -6n = 0 10 + 2n = -26 + 0 10 + 2n = -26 Add '-10' to each side of the equation. 10 + -10 + 2n = -26 + -10 Combine like terms: 10 + -10 = 0 0 + 2n = -26 + -10 2n = -26 + -10 Combine like terms: -26 + -10 = -36 2n = -36 Divide each side by '2'. n = -18 Simplifying n = -18
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