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Simplifying 10 = 2(-7n + 3) + 2(8n + 5) Reorder the terms: 10 = 2(3 + -7n) + 2(8n + 5) 10 = (3 * 2 + -7n * 2) + 2(8n + 5) 10 = (6 + -14n) + 2(8n + 5) Reorder the terms: 10 = 6 + -14n + 2(5 + 8n) 10 = 6 + -14n + (5 * 2 + 8n * 2) 10 = 6 + -14n + (10 + 16n) Reorder the terms: 10 = 6 + 10 + -14n + 16n Combine like terms: 6 + 10 = 16 10 = 16 + -14n + 16n Combine like terms: -14n + 16n = 2n 10 = 16 + 2n Solving 10 = 16 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 10 + -2n = 16 + 2n + -2n Combine like terms: 2n + -2n = 0 10 + -2n = 16 + 0 10 + -2n = 16 Add '-10' to each side of the equation. 10 + -10 + -2n = 16 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = 16 + -10 -2n = 16 + -10 Combine like terms: 16 + -10 = 6 -2n = 6 Divide each side by '-2'. n = -3 Simplifying n = -3
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