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Simplifying n + 7 + -12n = -8(3n + -11) + 10(-9 + n) Reorder the terms: 7 + n + -12n = -8(3n + -11) + 10(-9 + n) Combine like terms: n + -12n = -11n 7 + -11n = -8(3n + -11) + 10(-9 + n) Reorder the terms: 7 + -11n = -8(-11 + 3n) + 10(-9 + n) 7 + -11n = (-11 * -8 + 3n * -8) + 10(-9 + n) 7 + -11n = (88 + -24n) + 10(-9 + n) 7 + -11n = 88 + -24n + (-9 * 10 + n * 10) 7 + -11n = 88 + -24n + (-90 + 10n) Reorder the terms: 7 + -11n = 88 + -90 + -24n + 10n Combine like terms: 88 + -90 = -2 7 + -11n = -2 + -24n + 10n Combine like terms: -24n + 10n = -14n 7 + -11n = -2 + -14n Solving 7 + -11n = -2 + -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. 7 + -11n + 14n = -2 + -14n + 14n Combine like terms: -11n + 14n = 3n 7 + 3n = -2 + -14n + 14n Combine like terms: -14n + 14n = 0 7 + 3n = -2 + 0 7 + 3n = -2 Add '-7' to each side of the equation. 7 + -7 + 3n = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 3n = -2 + -7 3n = -2 + -7 Combine like terms: -2 + -7 = -9 3n = -9 Divide each side by '3'. n = -3 Simplifying n = -3
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