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Simplifying 2(n + -4) + -1(6 + -7n) = 8n Reorder the terms: 2(-4 + n) + -1(6 + -7n) = 8n (-4 * 2 + n * 2) + -1(6 + -7n) = 8n (-8 + 2n) + -1(6 + -7n) = 8n -8 + 2n + (6 * -1 + -7n * -1) = 8n -8 + 2n + (-6 + 7n) = 8n Reorder the terms: -8 + -6 + 2n + 7n = 8n Combine like terms: -8 + -6 = -14 -14 + 2n + 7n = 8n Combine like terms: 2n + 7n = 9n -14 + 9n = 8n Solving -14 + 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. -14 + 9n + -8n = 8n + -8n Combine like terms: 9n + -8n = 1n -14 + 1n = 8n + -8n Combine like terms: 8n + -8n = 0 -14 + 1n = 0 Add '14' to each side of the equation. -14 + 14 + 1n = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 1n = 0 + 14 1n = 0 + 14 Combine like terms: 0 + 14 = 14 1n = 14 Divide each side by '1'. n = 14 Simplifying n = 14
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