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Simplifying -7(1 + 5n) + 6(1 + 4n) = 13 (1 * -7 + 5n * -7) + 6(1 + 4n) = 13 (-7 + -35n) + 6(1 + 4n) = 13 -7 + -35n + (1 * 6 + 4n * 6) = 13 -7 + -35n + (6 + 24n) = 13 Reorder the terms: -7 + 6 + -35n + 24n = 13 Combine like terms: -7 + 6 = -1 -1 + -35n + 24n = 13 Combine like terms: -35n + 24n = -11n -1 + -11n = 13 Solving -1 + -11n = 13 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -11n = 13 + 1 Combine like terms: -1 + 1 = 0 0 + -11n = 13 + 1 -11n = 13 + 1 Combine like terms: 13 + 1 = 14 -11n = 14 Divide each side by '-11'. n = -1.272727273 Simplifying n = -1.272727273
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