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Simplifying -13 + 5n = 8(2n + 6) + -6 Reorder the terms: -13 + 5n = 8(6 + 2n) + -6 -13 + 5n = (6 * 8 + 2n * 8) + -6 -13 + 5n = (48 + 16n) + -6 Reorder the terms: -13 + 5n = 48 + -6 + 16n Combine like terms: 48 + -6 = 42 -13 + 5n = 42 + 16n Solving -13 + 5n = 42 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -13 + 5n + -16n = 42 + 16n + -16n Combine like terms: 5n + -16n = -11n -13 + -11n = 42 + 16n + -16n Combine like terms: 16n + -16n = 0 -13 + -11n = 42 + 0 -13 + -11n = 42 Add '13' to each side of the equation. -13 + 13 + -11n = 42 + 13 Combine like terms: -13 + 13 = 0 0 + -11n = 42 + 13 -11n = 42 + 13 Combine like terms: 42 + 13 = 55 -11n = 55 Divide each side by '-11'. n = -5 Simplifying n = -5
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