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Simplifying 1 + 2n = 7(n + -5) + 4n Reorder the terms: 1 + 2n = 7(-5 + n) + 4n 1 + 2n = (-5 * 7 + n * 7) + 4n 1 + 2n = (-35 + 7n) + 4n Combine like terms: 7n + 4n = 11n 1 + 2n = -35 + 11n Solving 1 + 2n = -35 + 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. 1 + 2n + -11n = -35 + 11n + -11n Combine like terms: 2n + -11n = -9n 1 + -9n = -35 + 11n + -11n Combine like terms: 11n + -11n = 0 1 + -9n = -35 + 0 1 + -9n = -35 Add '-1' to each side of the equation. 1 + -1 + -9n = -35 + -1 Combine like terms: 1 + -1 = 0 0 + -9n = -35 + -1 -9n = -35 + -1 Combine like terms: -35 + -1 = -36 -9n = -36 Divide each side by '-9'. n = 4 Simplifying n = 4
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