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Simplifying 5(3n + -1) = (7n + 3) + 8 Reorder the terms: 5(-1 + 3n) = (7n + 3) + 8 (-1 * 5 + 3n * 5) = (7n + 3) + 8 (-5 + 15n) = (7n + 3) + 8 Reorder the terms: -5 + 15n = (3 + 7n) + 8 Remove parenthesis around (3 + 7n) -5 + 15n = 3 + 7n + 8 Reorder the terms: -5 + 15n = 3 + 8 + 7n Combine like terms: 3 + 8 = 11 -5 + 15n = 11 + 7n Solving -5 + 15n = 11 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -5 + 15n + -7n = 11 + 7n + -7n Combine like terms: 15n + -7n = 8n -5 + 8n = 11 + 7n + -7n Combine like terms: 7n + -7n = 0 -5 + 8n = 11 + 0 -5 + 8n = 11 Add '5' to each side of the equation. -5 + 5 + 8n = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 8n = 11 + 5 8n = 11 + 5 Combine like terms: 11 + 5 = 16 8n = 16 Divide each side by '8'. n = 2 Simplifying n = 2
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