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Simplifying 3n + -1(12 + 8n) = -5n + -2(n + 6) 3n + (12 * -1 + 8n * -1) = -5n + -2(n + 6) 3n + (-12 + -8n) = -5n + -2(n + 6) Reorder the terms: -12 + 3n + -8n = -5n + -2(n + 6) Combine like terms: 3n + -8n = -5n -12 + -5n = -5n + -2(n + 6) Reorder the terms: -12 + -5n = -5n + -2(6 + n) -12 + -5n = -5n + (6 * -2 + n * -2) -12 + -5n = -5n + (-12 + -2n) Reorder the terms: -12 + -5n = -12 + -5n + -2n Combine like terms: -5n + -2n = -7n -12 + -5n = -12 + -7n Add '12' to each side of the equation. -12 + 12 + -5n = -12 + 12 + -7n Combine like terms: -12 + 12 = 0 0 + -5n = -12 + 12 + -7n -5n = -12 + 12 + -7n Combine like terms: -12 + 12 = 0 -5n = 0 + -7n -5n = -7n Solving -5n = -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -5n + 7n = -7n + 7n Combine like terms: -5n + 7n = 2n 2n = -7n + 7n Combine like terms: -7n + 7n = 0 2n = 0 Divide each side by '2'. n = 0 Simplifying n = 0
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