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Simplifying (5n + -2) * 3 + -1(5n + -2) = 5n + -3 Reorder the terms: (-2 + 5n) * 3 + -1(5n + -2) = 5n + -3 Reorder the terms for easier multiplication: 3(-2 + 5n) + -1(5n + -2) = 5n + -3 (-2 * 3 + 5n * 3) + -1(5n + -2) = 5n + -3 (-6 + 15n) + -1(5n + -2) = 5n + -3 Reorder the terms: -6 + 15n + -1(-2 + 5n) = 5n + -3 -6 + 15n + (-2 * -1 + 5n * -1) = 5n + -3 -6 + 15n + (2 + -5n) = 5n + -3 Reorder the terms: -6 + 2 + 15n + -5n = 5n + -3 Combine like terms: -6 + 2 = -4 -4 + 15n + -5n = 5n + -3 Combine like terms: 15n + -5n = 10n -4 + 10n = 5n + -3 Reorder the terms: -4 + 10n = -3 + 5n Solving -4 + 10n = -3 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -4 + 10n + -5n = -3 + 5n + -5n Combine like terms: 10n + -5n = 5n -4 + 5n = -3 + 5n + -5n Combine like terms: 5n + -5n = 0 -4 + 5n = -3 + 0 -4 + 5n = -3 Add '4' to each side of the equation. -4 + 4 + 5n = -3 + 4 Combine like terms: -4 + 4 = 0 0 + 5n = -3 + 4 5n = -3 + 4 Combine like terms: -3 + 4 = 1 5n = 1 Divide each side by '5'. n = 0.2 Simplifying n = 0.2
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