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Simplifying -5n + -39 = 4n + -7(1 + -1n) Reorder the terms: -39 + -5n = 4n + -7(1 + -1n) -39 + -5n = 4n + (1 * -7 + -1n * -7) -39 + -5n = 4n + (-7 + 7n) Reorder the terms: -39 + -5n = -7 + 4n + 7n Combine like terms: 4n + 7n = 11n -39 + -5n = -7 + 11n Solving -39 + -5n = -7 + 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. -39 + -5n + -11n = -7 + 11n + -11n Combine like terms: -5n + -11n = -16n -39 + -16n = -7 + 11n + -11n Combine like terms: 11n + -11n = 0 -39 + -16n = -7 + 0 -39 + -16n = -7 Add '39' to each side of the equation. -39 + 39 + -16n = -7 + 39 Combine like terms: -39 + 39 = 0 0 + -16n = -7 + 39 -16n = -7 + 39 Combine like terms: -7 + 39 = 32 -16n = 32 Divide each side by '-16'. n = -2 Simplifying n = -2
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