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Simplifying -11n + -4n = 12(n + -2) + -6(8n + 10) Combine like terms: -11n + -4n = -15n -15n = 12(n + -2) + -6(8n + 10) Reorder the terms: -15n = 12(-2 + n) + -6(8n + 10) -15n = (-2 * 12 + n * 12) + -6(8n + 10) -15n = (-24 + 12n) + -6(8n + 10) Reorder the terms: -15n = -24 + 12n + -6(10 + 8n) -15n = -24 + 12n + (10 * -6 + 8n * -6) -15n = -24 + 12n + (-60 + -48n) Reorder the terms: -15n = -24 + -60 + 12n + -48n Combine like terms: -24 + -60 = -84 -15n = -84 + 12n + -48n Combine like terms: 12n + -48n = -36n -15n = -84 + -36n Solving -15n = -84 + -36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36n' to each side of the equation. -15n + 36n = -84 + -36n + 36n Combine like terms: -15n + 36n = 21n 21n = -84 + -36n + 36n Combine like terms: -36n + 36n = 0 21n = -84 + 0 21n = -84 Divide each side by '21'. n = -4 Simplifying n = -4
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