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Simplifying -5(n + 2) + 13 = 2n + -15 Reorder the terms: -5(2 + n) + 13 = 2n + -15 (2 * -5 + n * -5) + 13 = 2n + -15 (-10 + -5n) + 13 = 2n + -15 Reorder the terms: -10 + 13 + -5n = 2n + -15 Combine like terms: -10 + 13 = 3 3 + -5n = 2n + -15 Reorder the terms: 3 + -5n = -15 + 2n Solving 3 + -5n = -15 + 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. 3 + -5n + -2n = -15 + 2n + -2n Combine like terms: -5n + -2n = -7n 3 + -7n = -15 + 2n + -2n Combine like terms: 2n + -2n = 0 3 + -7n = -15 + 0 3 + -7n = -15 Add '-3' to each side of the equation. 3 + -3 + -7n = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -7n = -15 + -3 -7n = -15 + -3 Combine like terms: -15 + -3 = -18 -7n = -18 Divide each side by '-7'. n = 2.571428571 Simplifying n = 2.571428571
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