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Simplifying 5(3 + -1n) = 2n + 1 (3 * 5 + -1n * 5) = 2n + 1 (15 + -5n) = 2n + 1 Reorder the terms: 15 + -5n = 1 + 2n Solving 15 + -5n = 1 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 15 + -5n + -2n = 1 + 2n + -2n Combine like terms: -5n + -2n = -7n 15 + -7n = 1 + 2n + -2n Combine like terms: 2n + -2n = 0 15 + -7n = 1 + 0 15 + -7n = 1 Add '-15' to each side of the equation. 15 + -15 + -7n = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -7n = 1 + -15 -7n = 1 + -15 Combine like terms: 1 + -15 = -14 -7n = -14 Divide each side by '-7'. n = 2 Simplifying n = 2
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