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Simplifying 5(3n + -1) + -4(2n + -5) = 22 Reorder the terms: 5(-1 + 3n) + -4(2n + -5) = 22 (-1 * 5 + 3n * 5) + -4(2n + -5) = 22 (-5 + 15n) + -4(2n + -5) = 22 Reorder the terms: -5 + 15n + -4(-5 + 2n) = 22 -5 + 15n + (-5 * -4 + 2n * -4) = 22 -5 + 15n + (20 + -8n) = 22 Reorder the terms: -5 + 20 + 15n + -8n = 22 Combine like terms: -5 + 20 = 15 15 + 15n + -8n = 22 Combine like terms: 15n + -8n = 7n 15 + 7n = 22 Solving 15 + 7n = 22 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 7n = 22 + -15 Combine like terms: 15 + -15 = 0 0 + 7n = 22 + -15 7n = 22 + -15 Combine like terms: 22 + -15 = 7 7n = 7 Divide each side by '7'. n = 1 Simplifying n = 1
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