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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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