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Simplifying 5(3n + -1) = (8n + 7) + 1 Reorder the terms: 5(-1 + 3n) = (8n + 7) + 1 (-1 * 5 + 3n * 5) = (8n + 7) + 1 (-5 + 15n) = (8n + 7) + 1 Reorder the terms: -5 + 15n = (7 + 8n) + 1 Remove parenthesis around (7 + 8n) -5 + 15n = 7 + 8n + 1 Reorder the terms: -5 + 15n = 7 + 1 + 8n Combine like terms: 7 + 1 = 8 -5 + 15n = 8 + 8n Solving -5 + 15n = 8 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -5 + 15n + -8n = 8 + 8n + -8n Combine like terms: 15n + -8n = 7n -5 + 7n = 8 + 8n + -8n Combine like terms: 8n + -8n = 0 -5 + 7n = 8 + 0 -5 + 7n = 8 Add '5' to each side of the equation. -5 + 5 + 7n = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 7n = 8 + 5 7n = 8 + 5 Combine like terms: 8 + 5 = 13 7n = 13 Divide each side by '7'. n = 1.857142857 Simplifying n = 1.857142857
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