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Simplifying 4 + 4(2n + 12) = -2(n + -1) + 5n Reorder the terms: 4 + 4(12 + 2n) = -2(n + -1) + 5n 4 + (12 * 4 + 2n * 4) = -2(n + -1) + 5n 4 + (48 + 8n) = -2(n + -1) + 5n Combine like terms: 4 + 48 = 52 52 + 8n = -2(n + -1) + 5n Reorder the terms: 52 + 8n = -2(-1 + n) + 5n 52 + 8n = (-1 * -2 + n * -2) + 5n 52 + 8n = (2 + -2n) + 5n Combine like terms: -2n + 5n = 3n 52 + 8n = 2 + 3n Solving 52 + 8n = 2 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 52 + 8n + -3n = 2 + 3n + -3n Combine like terms: 8n + -3n = 5n 52 + 5n = 2 + 3n + -3n Combine like terms: 3n + -3n = 0 52 + 5n = 2 + 0 52 + 5n = 2 Add '-52' to each side of the equation. 52 + -52 + 5n = 2 + -52 Combine like terms: 52 + -52 = 0 0 + 5n = 2 + -52 5n = 2 + -52 Combine like terms: 2 + -52 = -50 5n = -50 Divide each side by '5'. n = -10 Simplifying n = -10
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