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Simplifying 8(1 + -4n) + 7n = -117 (1 * 8 + -4n * 8) + 7n = -117 (8 + -32n) + 7n = -117 Combine like terms: -32n + 7n = -25n 8 + -25n = -117 Solving 8 + -25n = -117 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -25n = -117 + -8 Combine like terms: 8 + -8 = 0 0 + -25n = -117 + -8 -25n = -117 + -8 Combine like terms: -117 + -8 = -125 -25n = -125 Divide each side by '-25'. n = 5 Simplifying n = 5
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