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Simplifying n + -8 + -5n = 11(6 + n) + -11(-7n + -10) Reorder the terms: -8 + n + -5n = 11(6 + n) + -11(-7n + -10) Combine like terms: n + -5n = -4n -8 + -4n = 11(6 + n) + -11(-7n + -10) -8 + -4n = (6 * 11 + n * 11) + -11(-7n + -10) -8 + -4n = (66 + 11n) + -11(-7n + -10) Reorder the terms: -8 + -4n = 66 + 11n + -11(-10 + -7n) -8 + -4n = 66 + 11n + (-10 * -11 + -7n * -11) -8 + -4n = 66 + 11n + (110 + 77n) Reorder the terms: -8 + -4n = 66 + 110 + 11n + 77n Combine like terms: 66 + 110 = 176 -8 + -4n = 176 + 11n + 77n Combine like terms: 11n + 77n = 88n -8 + -4n = 176 + 88n Solving -8 + -4n = 176 + 88n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-88n' to each side of the equation. -8 + -4n + -88n = 176 + 88n + -88n Combine like terms: -4n + -88n = -92n -8 + -92n = 176 + 88n + -88n Combine like terms: 88n + -88n = 0 -8 + -92n = 176 + 0 -8 + -92n = 176 Add '8' to each side of the equation. -8 + 8 + -92n = 176 + 8 Combine like terms: -8 + 8 = 0 0 + -92n = 176 + 8 -92n = 176 + 8 Combine like terms: 176 + 8 = 184 -92n = 184 Divide each side by '-92'. n = -2 Simplifying n = -2
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