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Simplifying 2.5(6.1 + -1n) = -11.4 (6.1 * 2.5 + -1n * 2.5) = -11.4 (15.25 + -2.5n) = -11.4 Solving 15.25 + -2.5n = -11.4 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15.25' to each side of the equation. 15.25 + -15.25 + -2.5n = -11.4 + -15.25 Combine like terms: 15.25 + -15.25 = 0.00 0.00 + -2.5n = -11.4 + -15.25 -2.5n = -11.4 + -15.25 Combine like terms: -11.4 + -15.25 = -26.65 -2.5n = -26.65 Divide each side by '-2.5'. n = 10.66 Simplifying n = 10.66
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