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Simplifying 8n + -3(4 + -2n) = 6(n + 1) + -2 8n + (4 * -3 + -2n * -3) = 6(n + 1) + -2 8n + (-12 + 6n) = 6(n + 1) + -2 Reorder the terms: -12 + 8n + 6n = 6(n + 1) + -2 Combine like terms: 8n + 6n = 14n -12 + 14n = 6(n + 1) + -2 Reorder the terms: -12 + 14n = 6(1 + n) + -2 -12 + 14n = (1 * 6 + n * 6) + -2 -12 + 14n = (6 + 6n) + -2 Reorder the terms: -12 + 14n = 6 + -2 + 6n Combine like terms: 6 + -2 = 4 -12 + 14n = 4 + 6n Solving -12 + 14n = 4 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -12 + 14n + -6n = 4 + 6n + -6n Combine like terms: 14n + -6n = 8n -12 + 8n = 4 + 6n + -6n Combine like terms: 6n + -6n = 0 -12 + 8n = 4 + 0 -12 + 8n = 4 Add '12' to each side of the equation. -12 + 12 + 8n = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 8n = 4 + 12 8n = 4 + 12 Combine like terms: 4 + 12 = 16 8n = 16 Divide each side by '8'. n = 2 Simplifying n = 2
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