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Simplifying 2(n + -7) + -1(-7n + -2) = 8n Reorder the terms: 2(-7 + n) + -1(-7n + -2) = 8n (-7 * 2 + n * 2) + -1(-7n + -2) = 8n (-14 + 2n) + -1(-7n + -2) = 8n Reorder the terms: -14 + 2n + -1(-2 + -7n) = 8n -14 + 2n + (-2 * -1 + -7n * -1) = 8n -14 + 2n + (2 + 7n) = 8n Reorder the terms: -14 + 2 + 2n + 7n = 8n Combine like terms: -14 + 2 = -12 -12 + 2n + 7n = 8n Combine like terms: 2n + 7n = 9n -12 + 9n = 8n Solving -12 + 9n = 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -12 + 9n + -8n = 8n + -8n Combine like terms: 9n + -8n = 1n -12 + 1n = 8n + -8n Combine like terms: 8n + -8n = 0 -12 + 1n = 0 Add '12' to each side of the equation. -12 + 12 + 1n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1n = 0 + 12 1n = 0 + 12 Combine like terms: 0 + 12 = 12 1n = 12 Divide each side by '1'. n = 12 Simplifying n = 12
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