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Simplifying 5n + -7(1 + 3n) = -5n + 26 5n + (1 * -7 + 3n * -7) = -5n + 26 5n + (-7 + -21n) = -5n + 26 Reorder the terms: -7 + 5n + -21n = -5n + 26 Combine like terms: 5n + -21n = -16n -7 + -16n = -5n + 26 Reorder the terms: -7 + -16n = 26 + -5n Solving -7 + -16n = 26 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -7 + -16n + 5n = 26 + -5n + 5n Combine like terms: -16n + 5n = -11n -7 + -11n = 26 + -5n + 5n Combine like terms: -5n + 5n = 0 -7 + -11n = 26 + 0 -7 + -11n = 26 Add '7' to each side of the equation. -7 + 7 + -11n = 26 + 7 Combine like terms: -7 + 7 = 0 0 + -11n = 26 + 7 -11n = 26 + 7 Combine like terms: 26 + 7 = 33 -11n = 33 Divide each side by '-11'. n = -3 Simplifying n = -3
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