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Simplifying -5 + 2n + 13 = -7(n + -3) Reorder the terms: -5 + 13 + 2n = -7(n + -3) Combine like terms: -5 + 13 = 8 8 + 2n = -7(n + -3) Reorder the terms: 8 + 2n = -7(-3 + n) 8 + 2n = (-3 * -7 + n * -7) 8 + 2n = (21 + -7n) Solving 8 + 2n = 21 + -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. 8 + 2n + 7n = 21 + -7n + 7n Combine like terms: 2n + 7n = 9n 8 + 9n = 21 + -7n + 7n Combine like terms: -7n + 7n = 0 8 + 9n = 21 + 0 8 + 9n = 21 Add '-8' to each side of the equation. 8 + -8 + 9n = 21 + -8 Combine like terms: 8 + -8 = 0 0 + 9n = 21 + -8 9n = 21 + -8 Combine like terms: 21 + -8 = 13 9n = 13 Divide each side by '9'. n = 1.444444444 Simplifying n = 1.444444444
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