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Simplifying 10 + -11(4 + n) = 8(7 + -7n) 10 + (4 * -11 + n * -11) = 8(7 + -7n) 10 + (-44 + -11n) = 8(7 + -7n) Combine like terms: 10 + -44 = -34 -34 + -11n = 8(7 + -7n) -34 + -11n = (7 * 8 + -7n * 8) -34 + -11n = (56 + -56n) Solving -34 + -11n = 56 + -56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '56n' to each side of the equation. -34 + -11n + 56n = 56 + -56n + 56n Combine like terms: -11n + 56n = 45n -34 + 45n = 56 + -56n + 56n Combine like terms: -56n + 56n = 0 -34 + 45n = 56 + 0 -34 + 45n = 56 Add '34' to each side of the equation. -34 + 34 + 45n = 56 + 34 Combine like terms: -34 + 34 = 0 0 + 45n = 56 + 34 45n = 56 + 34 Combine like terms: 56 + 34 = 90 45n = 90 Divide each side by '45'. n = 2 Simplifying n = 2
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