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Simplifying 7(3 + -2n) + -1 = 6 + -7n (3 * 7 + -2n * 7) + -1 = 6 + -7n (21 + -14n) + -1 = 6 + -7n Reorder the terms: 21 + -1 + -14n = 6 + -7n Combine like terms: 21 + -1 = 20 20 + -14n = 6 + -7n Solving 20 + -14n = 6 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 20 + -14n + 7n = 6 + -7n + 7n Combine like terms: -14n + 7n = -7n 20 + -7n = 6 + -7n + 7n Combine like terms: -7n + 7n = 0 20 + -7n = 6 + 0 20 + -7n = 6 Add '-20' to each side of the equation. 20 + -20 + -7n = 6 + -20 Combine like terms: 20 + -20 = 0 0 + -7n = 6 + -20 -7n = 6 + -20 Combine like terms: 6 + -20 = -14 -7n = -14 Divide each side by '-7'. n = 2 Simplifying n = 2
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