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Simplifying 11n + 7 + 4 = 14(n + -8) + -2(1 + 14n) Reorder the terms: 7 + 4 + 11n = 14(n + -8) + -2(1 + 14n) Combine like terms: 7 + 4 = 11 11 + 11n = 14(n + -8) + -2(1 + 14n) Reorder the terms: 11 + 11n = 14(-8 + n) + -2(1 + 14n) 11 + 11n = (-8 * 14 + n * 14) + -2(1 + 14n) 11 + 11n = (-112 + 14n) + -2(1 + 14n) 11 + 11n = -112 + 14n + (1 * -2 + 14n * -2) 11 + 11n = -112 + 14n + (-2 + -28n) Reorder the terms: 11 + 11n = -112 + -2 + 14n + -28n Combine like terms: -112 + -2 = -114 11 + 11n = -114 + 14n + -28n Combine like terms: 14n + -28n = -14n 11 + 11n = -114 + -14n Solving 11 + 11n = -114 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 11 + 11n + 14n = -114 + -14n + 14n Combine like terms: 11n + 14n = 25n 11 + 25n = -114 + -14n + 14n Combine like terms: -14n + 14n = 0 11 + 25n = -114 + 0 11 + 25n = -114 Add '-11' to each side of the equation. 11 + -11 + 25n = -114 + -11 Combine like terms: 11 + -11 = 0 0 + 25n = -114 + -11 25n = -114 + -11 Combine like terms: -114 + -11 = -125 25n = -125 Divide each side by '25'. n = -5 Simplifying n = -5
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