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Simplifying 13 = 7(n + 8) + 4(-2 + 7n) Reorder the terms: 13 = 7(8 + n) + 4(-2 + 7n) 13 = (8 * 7 + n * 7) + 4(-2 + 7n) 13 = (56 + 7n) + 4(-2 + 7n) 13 = 56 + 7n + (-2 * 4 + 7n * 4) 13 = 56 + 7n + (-8 + 28n) Reorder the terms: 13 = 56 + -8 + 7n + 28n Combine like terms: 56 + -8 = 48 13 = 48 + 7n + 28n Combine like terms: 7n + 28n = 35n 13 = 48 + 35n Solving 13 = 48 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 13 + -35n = 48 + 35n + -35n Combine like terms: 35n + -35n = 0 13 + -35n = 48 + 0 13 + -35n = 48 Add '-13' to each side of the equation. 13 + -13 + -35n = 48 + -13 Combine like terms: 13 + -13 = 0 0 + -35n = 48 + -13 -35n = 48 + -13 Combine like terms: 48 + -13 = 35 -35n = 35 Divide each side by '-35'. n = -1 Simplifying n = -1
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