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Simplifying -2.5(-1.2 + 4.5n) = 11.885 + 0.2n (-1.2 * -2.5 + 4.5n * -2.5) = 11.885 + 0.2n (3 + -11.25n) = 11.885 + 0.2n Solving 3 + -11.25n = 11.885 + 0.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.2n' to each side of the equation. 3 + -11.25n + -0.2n = 11.885 + 0.2n + -0.2n Combine like terms: -11.25n + -0.2n = -11.45n 3 + -11.45n = 11.885 + 0.2n + -0.2n Combine like terms: 0.2n + -0.2n = 0.0 3 + -11.45n = 11.885 + 0.0 3 + -11.45n = 11.885 Add '-3' to each side of the equation. 3 + -3 + -11.45n = 11.885 + -3 Combine like terms: 3 + -3 = 0 0 + -11.45n = 11.885 + -3 -11.45n = 11.885 + -3 Combine like terms: 11.885 + -3 = 8.885 -11.45n = 8.885 Divide each side by '-11.45'. n = -0.7759825328 Simplifying n = -0.7759825328
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