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Simplifying 2(4n + -1) = -3[3n + 5(-1n + -2)] Reorder the terms: 2(-1 + 4n) = -3[3n + 5(-1n + -2)] (-1 * 2 + 4n * 2) = -3[3n + 5(-1n + -2)] (-2 + 8n) = -3[3n + 5(-1n + -2)] Reorder the terms: -2 + 8n = -3[3n + 5(-2 + -1n)] -2 + 8n = -3[3n + (-2 * 5 + -1n * 5)] -2 + 8n = -3[3n + (-10 + -5n)] Reorder the terms: -2 + 8n = -3[-10 + 3n + -5n] Combine like terms: 3n + -5n = -2n -2 + 8n = -3[-10 + -2n] -2 + 8n = [-10 * -3 + -2n * -3] -2 + 8n = [30 + 6n] Solving -2 + 8n = 30 + 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. -2 + 8n + -6n = 30 + 6n + -6n Combine like terms: 8n + -6n = 2n -2 + 2n = 30 + 6n + -6n Combine like terms: 6n + -6n = 0 -2 + 2n = 30 + 0 -2 + 2n = 30 Add '2' to each side of the equation. -2 + 2 + 2n = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 2n = 30 + 2 2n = 30 + 2 Combine like terms: 30 + 2 = 32 2n = 32 Divide each side by '2'. n = 16 Simplifying n = 16
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