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Simplifying 5(3n + -2) = (7n + 1) + 8 Reorder the terms: 5(-2 + 3n) = (7n + 1) + 8 (-2 * 5 + 3n * 5) = (7n + 1) + 8 (-10 + 15n) = (7n + 1) + 8 Reorder the terms: -10 + 15n = (1 + 7n) + 8 Remove parenthesis around (1 + 7n) -10 + 15n = 1 + 7n + 8 Reorder the terms: -10 + 15n = 1 + 8 + 7n Combine like terms: 1 + 8 = 9 -10 + 15n = 9 + 7n Solving -10 + 15n = 9 + 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. -10 + 15n + -7n = 9 + 7n + -7n Combine like terms: 15n + -7n = 8n -10 + 8n = 9 + 7n + -7n Combine like terms: 7n + -7n = 0 -10 + 8n = 9 + 0 -10 + 8n = 9 Add '10' to each side of the equation. -10 + 10 + 8n = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 8n = 9 + 10 8n = 9 + 10 Combine like terms: 9 + 10 = 19 8n = 19 Divide each side by '8'. n = 2.375 Simplifying n = 2.375
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