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Simplifying -45 = -7(1 + -6n) + -2(1 + 3n) -45 = (1 * -7 + -6n * -7) + -2(1 + 3n) -45 = (-7 + 42n) + -2(1 + 3n) -45 = -7 + 42n + (1 * -2 + 3n * -2) -45 = -7 + 42n + (-2 + -6n) Reorder the terms: -45 = -7 + -2 + 42n + -6n Combine like terms: -7 + -2 = -9 -45 = -9 + 42n + -6n Combine like terms: 42n + -6n = 36n -45 = -9 + 36n Solving -45 = -9 + 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. -45 + -36n = -9 + 36n + -36n Combine like terms: 36n + -36n = 0 -45 + -36n = -9 + 0 -45 + -36n = -9 Add '45' to each side of the equation. -45 + 45 + -36n = -9 + 45 Combine like terms: -45 + 45 = 0 0 + -36n = -9 + 45 -36n = -9 + 45 Combine like terms: -9 + 45 = 36 -36n = 36 Divide each side by '-36'. n = -1 Simplifying n = -1
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