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Simplifying 6(n + -1) + 2(n + 1) = 10 + 7n Reorder the terms: 6(-1 + n) + 2(n + 1) = 10 + 7n (-1 * 6 + n * 6) + 2(n + 1) = 10 + 7n (-6 + 6n) + 2(n + 1) = 10 + 7n Reorder the terms: -6 + 6n + 2(1 + n) = 10 + 7n -6 + 6n + (1 * 2 + n * 2) = 10 + 7n -6 + 6n + (2 + 2n) = 10 + 7n Reorder the terms: -6 + 2 + 6n + 2n = 10 + 7n Combine like terms: -6 + 2 = -4 -4 + 6n + 2n = 10 + 7n Combine like terms: 6n + 2n = 8n -4 + 8n = 10 + 7n Solving -4 + 8n = 10 + 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. -4 + 8n + -7n = 10 + 7n + -7n Combine like terms: 8n + -7n = 1n -4 + 1n = 10 + 7n + -7n Combine like terms: 7n + -7n = 0 -4 + 1n = 10 + 0 -4 + 1n = 10 Add '4' to each side of the equation. -4 + 4 + 1n = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 1n = 10 + 4 1n = 10 + 4 Combine like terms: 10 + 4 = 14 1n = 14 Divide each side by '1'. n = 14 Simplifying n = 14
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