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Simplifying -65 = 7(7 + 6n) + -1(6n + 6) -65 = (7 * 7 + 6n * 7) + -1(6n + 6) -65 = (49 + 42n) + -1(6n + 6) Reorder the terms: -65 = 49 + 42n + -1(6 + 6n) -65 = 49 + 42n + (6 * -1 + 6n * -1) -65 = 49 + 42n + (-6 + -6n) Reorder the terms: -65 = 49 + -6 + 42n + -6n Combine like terms: 49 + -6 = 43 -65 = 43 + 42n + -6n Combine like terms: 42n + -6n = 36n -65 = 43 + 36n Solving -65 = 43 + 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. -65 + -36n = 43 + 36n + -36n Combine like terms: 36n + -36n = 0 -65 + -36n = 43 + 0 -65 + -36n = 43 Add '65' to each side of the equation. -65 + 65 + -36n = 43 + 65 Combine like terms: -65 + 65 = 0 0 + -36n = 43 + 65 -36n = 43 + 65 Combine like terms: 43 + 65 = 108 -36n = 108 Divide each side by '-36'. n = -3 Simplifying n = -3
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