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Simplifying 3(n + 2) + -1 = 5 + -2[6n + 2(n + -5)] Reorder the terms: 3(2 + n) + -1 = 5 + -2[6n + 2(n + -5)] (2 * 3 + n * 3) + -1 = 5 + -2[6n + 2(n + -5)] (6 + 3n) + -1 = 5 + -2[6n + 2(n + -5)] Reorder the terms: 6 + -1 + 3n = 5 + -2[6n + 2(n + -5)] Combine like terms: 6 + -1 = 5 5 + 3n = 5 + -2[6n + 2(n + -5)] Reorder the terms: 5 + 3n = 5 + -2[6n + 2(-5 + n)] 5 + 3n = 5 + -2[6n + (-5 * 2 + n * 2)] 5 + 3n = 5 + -2[6n + (-10 + 2n)] Reorder the terms: 5 + 3n = 5 + -2[-10 + 6n + 2n] Combine like terms: 6n + 2n = 8n 5 + 3n = 5 + -2[-10 + 8n] 5 + 3n = 5 + [-10 * -2 + 8n * -2] 5 + 3n = 5 + [20 + -16n] Combine like terms: 5 + 20 = 25 5 + 3n = 25 + -16n Solving 5 + 3n = 25 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. 5 + 3n + 16n = 25 + -16n + 16n Combine like terms: 3n + 16n = 19n 5 + 19n = 25 + -16n + 16n Combine like terms: -16n + 16n = 0 5 + 19n = 25 + 0 5 + 19n = 25 Add '-5' to each side of the equation. 5 + -5 + 19n = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 19n = 25 + -5 19n = 25 + -5 Combine like terms: 25 + -5 = 20 19n = 20 Divide each side by '19'. n = 1.052631579 Simplifying n = 1.052631579
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