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Simplifying -5(3 + -1n) = 13 + 7n (3 * -5 + -1n * -5) = 13 + 7n (-15 + 5n) = 13 + 7n Solving -15 + 5n = 13 + 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. -15 + 5n + -7n = 13 + 7n + -7n Combine like terms: 5n + -7n = -2n -15 + -2n = 13 + 7n + -7n Combine like terms: 7n + -7n = 0 -15 + -2n = 13 + 0 -15 + -2n = 13 Add '15' to each side of the equation. -15 + 15 + -2n = 13 + 15 Combine like terms: -15 + 15 = 0 0 + -2n = 13 + 15 -2n = 13 + 15 Combine like terms: 13 + 15 = 28 -2n = 28 Divide each side by '-2'. n = -14 Simplifying n = -14
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