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Simplifying 2[7n + -1] = 3[5 + -1n] Reorder the terms: 2[-1 + 7n] = 3[5 + -1n] [-1 * 2 + 7n * 2] = 3[5 + -1n] [-2 + 14n] = 3[5 + -1n] -2 + 14n = [5 * 3 + -1n * 3] -2 + 14n = [15 + -3n] Solving -2 + 14n = 15 + -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. -2 + 14n + 3n = 15 + -3n + 3n Combine like terms: 14n + 3n = 17n -2 + 17n = 15 + -3n + 3n Combine like terms: -3n + 3n = 0 -2 + 17n = 15 + 0 -2 + 17n = 15 Add '2' to each side of the equation. -2 + 2 + 17n = 15 + 2 Combine like terms: -2 + 2 = 0 0 + 17n = 15 + 2 17n = 15 + 2 Combine like terms: 15 + 2 = 17 17n = 17 Divide each side by '17'. n = 1 Simplifying n = 1
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