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Simplifying -7.3(5.4n + 5) + -2.2 = -0.7n + 34.868 Reorder the terms: -7.3(5 + 5.4n) + -2.2 = -0.7n + 34.868 (5 * -7.3 + 5.4n * -7.3) + -2.2 = -0.7n + 34.868 (-36.5 + -39.42n) + -2.2 = -0.7n + 34.868 Reorder the terms: -36.5 + -2.2 + -39.42n = -0.7n + 34.868 Combine like terms: -36.5 + -2.2 = -38.7 -38.7 + -39.42n = -0.7n + 34.868 Reorder the terms: -38.7 + -39.42n = 34.868 + -0.7n Solving -38.7 + -39.42n = 34.868 + -0.7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.7n' to each side of the equation. -38.7 + -39.42n + 0.7n = 34.868 + -0.7n + 0.7n Combine like terms: -39.42n + 0.7n = -38.72n -38.7 + -38.72n = 34.868 + -0.7n + 0.7n Combine like terms: -0.7n + 0.7n = 0.0 -38.7 + -38.72n = 34.868 + 0.0 -38.7 + -38.72n = 34.868 Add '38.7' to each side of the equation. -38.7 + 38.7 + -38.72n = 34.868 + 38.7 Combine like terms: -38.7 + 38.7 = 0.0 0.0 + -38.72n = 34.868 + 38.7 -38.72n = 34.868 + 38.7 Combine like terms: 34.868 + 38.7 = 73.568 -38.72n = 73.568 Divide each side by '-38.72'. n = -1.9 Simplifying n = -1.9
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