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Simplifying n + 11(-5n + -8) = -4(14n + 8) Reorder the terms: n + 11(-8 + -5n) = -4(14n + 8) n + (-8 * 11 + -5n * 11) = -4(14n + 8) n + (-88 + -55n) = -4(14n + 8) Reorder the terms: -88 + n + -55n = -4(14n + 8) Combine like terms: n + -55n = -54n -88 + -54n = -4(14n + 8) Reorder the terms: -88 + -54n = -4(8 + 14n) -88 + -54n = (8 * -4 + 14n * -4) -88 + -54n = (-32 + -56n) Solving -88 + -54n = -32 + -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. -88 + -54n + 56n = -32 + -56n + 56n Combine like terms: -54n + 56n = 2n -88 + 2n = -32 + -56n + 56n Combine like terms: -56n + 56n = 0 -88 + 2n = -32 + 0 -88 + 2n = -32 Add '88' to each side of the equation. -88 + 88 + 2n = -32 + 88 Combine like terms: -88 + 88 = 0 0 + 2n = -32 + 88 2n = -32 + 88 Combine like terms: -32 + 88 = 56 2n = 56 Divide each side by '2'. n = 28 Simplifying n = 28
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