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Simplifying -5(1 + 7n) + -1n = -113 (1 * -5 + 7n * -5) + -1n = -113 (-5 + -35n) + -1n = -113 Combine like terms: -35n + -1n = -36n -5 + -36n = -113 Solving -5 + -36n = -113 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -36n = -113 + 5 Combine like terms: -5 + 5 = 0 0 + -36n = -113 + 5 -36n = -113 + 5 Combine like terms: -113 + 5 = -108 -36n = -108 Divide each side by '-36'. n = 3 Simplifying n = 3
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