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Simplifying -6.362 + -0.9n = 0.9(2.3 + -0.8n) + 2.3n -6.362 + -0.9n = (2.3 * 0.9 + -0.8n * 0.9) + 2.3n -6.362 + -0.9n = (2.07 + -0.72n) + 2.3n Combine like terms: -0.72n + 2.3n = 1.58n -6.362 + -0.9n = 2.07 + 1.58n Solving -6.362 + -0.9n = 2.07 + 1.58n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.58n' to each side of the equation. -6.362 + -0.9n + -1.58n = 2.07 + 1.58n + -1.58n Combine like terms: -0.9n + -1.58n = -2.48n -6.362 + -2.48n = 2.07 + 1.58n + -1.58n Combine like terms: 1.58n + -1.58n = 0.00 -6.362 + -2.48n = 2.07 + 0.00 -6.362 + -2.48n = 2.07 Add '6.362' to each side of the equation. -6.362 + 6.362 + -2.48n = 2.07 + 6.362 Combine like terms: -6.362 + 6.362 = 0.000 0.000 + -2.48n = 2.07 + 6.362 -2.48n = 2.07 + 6.362 Combine like terms: 2.07 + 6.362 = 8.432 -2.48n = 8.432 Divide each side by '-2.48'. n = -3.4 Simplifying n = -3.4
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