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Simplifying -4 + 7.5(1 + -9.5n) = 27.5 -4 + (1 * 7.5 + -9.5n * 7.5) = 27.5 -4 + (7.5 + -71.25n) = 27.5 Combine like terms: -4 + 7.5 = 3.5 3.5 + -71.25n = 27.5 Solving 3.5 + -71.25n = 27.5 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + -71.25n = 27.5 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -71.25n = 27.5 + -3.5 -71.25n = 27.5 + -3.5 Combine like terms: 27.5 + -3.5 = 24 -71.25n = 24 Divide each side by '-71.25'. n = -0.3368421053 Simplifying n = -0.3368421053
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