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Simplifying -0.5 + -5.7(n + 6.8) = -40.2575 + -5.175n Reorder the terms: -0.5 + -5.7(6.8 + n) = -40.2575 + -5.175n -0.5 + (6.8 * -5.7 + n * -5.7) = -40.2575 + -5.175n -0.5 + (-38.76 + -5.7n) = -40.2575 + -5.175n Combine like terms: -0.5 + -38.76 = -39.26 -39.26 + -5.7n = -40.2575 + -5.175n Solving -39.26 + -5.7n = -40.2575 + -5.175n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5.175n' to each side of the equation. -39.26 + -5.7n + 5.175n = -40.2575 + -5.175n + 5.175n Combine like terms: -5.7n + 5.175n = -0.525n -39.26 + -0.525n = -40.2575 + -5.175n + 5.175n Combine like terms: -5.175n + 5.175n = 0.000 -39.26 + -0.525n = -40.2575 + 0.000 -39.26 + -0.525n = -40.2575 Add '39.26' to each side of the equation. -39.26 + 39.26 + -0.525n = -40.2575 + 39.26 Combine like terms: -39.26 + 39.26 = 0.00 0.00 + -0.525n = -40.2575 + 39.26 -0.525n = -40.2575 + 39.26 Combine like terms: -40.2575 + 39.26 = -0.9975 -0.525n = -0.9975 Divide each side by '-0.525'. n = 1.9 Simplifying n = 1.9
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