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Simplifying -1.8(1.03n + 0.9) = 2.2(2.58n + 1.4) + -1.4 Reorder the terms: -1.8(0.9 + 1.03n) = 2.2(2.58n + 1.4) + -1.4 (0.9 * -1.8 + 1.03n * -1.8) = 2.2(2.58n + 1.4) + -1.4 (-1.62 + -1.854n) = 2.2(2.58n + 1.4) + -1.4 Reorder the terms: -1.62 + -1.854n = 2.2(1.4 + 2.58n) + -1.4 -1.62 + -1.854n = (1.4 * 2.2 + 2.58n * 2.2) + -1.4 -1.62 + -1.854n = (3.08 + 5.676n) + -1.4 Reorder the terms: -1.62 + -1.854n = 3.08 + -1.4 + 5.676n Combine like terms: 3.08 + -1.4 = 1.68 -1.62 + -1.854n = 1.68 + 5.676n Solving -1.62 + -1.854n = 1.68 + 5.676n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5.676n' to each side of the equation. -1.62 + -1.854n + -5.676n = 1.68 + 5.676n + -5.676n Combine like terms: -1.854n + -5.676n = -7.53n -1.62 + -7.53n = 1.68 + 5.676n + -5.676n Combine like terms: 5.676n + -5.676n = 0.000 -1.62 + -7.53n = 1.68 + 0.000 -1.62 + -7.53n = 1.68 Add '1.62' to each side of the equation. -1.62 + 1.62 + -7.53n = 1.68 + 1.62 Combine like terms: -1.62 + 1.62 = 0.00 0.00 + -7.53n = 1.68 + 1.62 -7.53n = 1.68 + 1.62 Combine like terms: 1.68 + 1.62 = 3.3 -7.53n = 3.3 Divide each side by '-7.53'. n = -0.438247012 Simplifying n = -0.438247012
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