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Simplifying 11(n + -5) + -6n = 10 + -7(-1 + -11n) Reorder the terms: 11(-5 + n) + -6n = 10 + -7(-1 + -11n) (-5 * 11 + n * 11) + -6n = 10 + -7(-1 + -11n) (-55 + 11n) + -6n = 10 + -7(-1 + -11n) Combine like terms: 11n + -6n = 5n -55 + 5n = 10 + -7(-1 + -11n) -55 + 5n = 10 + (-1 * -7 + -11n * -7) -55 + 5n = 10 + (7 + 77n) Combine like terms: 10 + 7 = 17 -55 + 5n = 17 + 77n Solving -55 + 5n = 17 + 77n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-77n' to each side of the equation. -55 + 5n + -77n = 17 + 77n + -77n Combine like terms: 5n + -77n = -72n -55 + -72n = 17 + 77n + -77n Combine like terms: 77n + -77n = 0 -55 + -72n = 17 + 0 -55 + -72n = 17 Add '55' to each side of the equation. -55 + 55 + -72n = 17 + 55 Combine like terms: -55 + 55 = 0 0 + -72n = 17 + 55 -72n = 17 + 55 Combine like terms: 17 + 55 = 72 -72n = 72 Divide each side by '-72'. n = -1 Simplifying n = -1
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