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Simplifying 3(-0.9n + 0.5) = 3.5n + 1.3 Reorder the terms: 3(0.5 + -0.9n) = 3.5n + 1.3 (0.5 * 3 + -0.9n * 3) = 3.5n + 1.3 (1.5 + -2.7n) = 3.5n + 1.3 Reorder the terms: 1.5 + -2.7n = 1.3 + 3.5n Solving 1.5 + -2.7n = 1.3 + 3.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3.5n' to each side of the equation. 1.5 + -2.7n + -3.5n = 1.3 + 3.5n + -3.5n Combine like terms: -2.7n + -3.5n = -6.2n 1.5 + -6.2n = 1.3 + 3.5n + -3.5n Combine like terms: 3.5n + -3.5n = 0.0 1.5 + -6.2n = 1.3 + 0.0 1.5 + -6.2n = 1.3 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -6.2n = 1.3 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -6.2n = 1.3 + -1.5 -6.2n = 1.3 + -1.5 Combine like terms: 1.3 + -1.5 = -0.2 -6.2n = -0.2 Divide each side by '-6.2'. n = 0.03225806452 Simplifying n = 0.03225806452
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