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Simplifying 14 + -6(n + -20) = -4(11n + 14) Reorder the terms: 14 + -6(-20 + n) = -4(11n + 14) 14 + (-20 * -6 + n * -6) = -4(11n + 14) 14 + (120 + -6n) = -4(11n + 14) Combine like terms: 14 + 120 = 134 134 + -6n = -4(11n + 14) Reorder the terms: 134 + -6n = -4(14 + 11n) 134 + -6n = (14 * -4 + 11n * -4) 134 + -6n = (-56 + -44n) Solving 134 + -6n = -56 + -44n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '44n' to each side of the equation. 134 + -6n + 44n = -56 + -44n + 44n Combine like terms: -6n + 44n = 38n 134 + 38n = -56 + -44n + 44n Combine like terms: -44n + 44n = 0 134 + 38n = -56 + 0 134 + 38n = -56 Add '-134' to each side of the equation. 134 + -134 + 38n = -56 + -134 Combine like terms: 134 + -134 = 0 0 + 38n = -56 + -134 38n = -56 + -134 Combine like terms: -56 + -134 = -190 38n = -190 Divide each side by '38'. n = -5 Simplifying n = -5
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