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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 = -3n 3 + -3n = -15 + -2n + 2n Combine like terms: -2n + 2n = 0 3 + -3n = -15 + 0 3 + -3n = -15 Add '-3' to each side of the equation. 3 + -3 + -3n = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -3n = -15 + -3 -3n = -15 + -3 Combine like terms: -15 + -3 = -18 -3n = -18 Divide each side by '-3'. n = 6 Simplifying n = 6
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