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Simplifying -4(4n + -13) = -11n + -8 Reorder the terms: -4(-13 + 4n) = -11n + -8 (-13 * -4 + 4n * -4) = -11n + -8 (52 + -16n) = -11n + -8 Reorder the terms: 52 + -16n = -8 + -11n Solving 52 + -16n = -8 + -11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11n' to each side of the equation. 52 + -16n + 11n = -8 + -11n + 11n Combine like terms: -16n + 11n = -5n 52 + -5n = -8 + -11n + 11n Combine like terms: -11n + 11n = 0 52 + -5n = -8 + 0 52 + -5n = -8 Add '-52' to each side of the equation. 52 + -52 + -5n = -8 + -52 Combine like terms: 52 + -52 = 0 0 + -5n = -8 + -52 -5n = -8 + -52 Combine like terms: -8 + -52 = -60 -5n = -60 Divide each side by '-5'. n = 12 Simplifying n = 12
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