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Simplifying 5(3n + -4) = (7n + 2) + 8 Reorder the terms: 5(-4 + 3n) = (7n + 2) + 8 (-4 * 5 + 3n * 5) = (7n + 2) + 8 (-20 + 15n) = (7n + 2) + 8 Reorder the terms: -20 + 15n = (2 + 7n) + 8 Remove parenthesis around (2 + 7n) -20 + 15n = 2 + 7n + 8 Reorder the terms: -20 + 15n = 2 + 8 + 7n Combine like terms: 2 + 8 = 10 -20 + 15n = 10 + 7n Solving -20 + 15n = 10 + 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. -20 + 15n + -7n = 10 + 7n + -7n Combine like terms: 15n + -7n = 8n -20 + 8n = 10 + 7n + -7n Combine like terms: 7n + -7n = 0 -20 + 8n = 10 + 0 -20 + 8n = 10 Add '20' to each side of the equation. -20 + 20 + 8n = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 8n = 10 + 20 8n = 10 + 20 Combine like terms: 10 + 20 = 30 8n = 30 Divide each side by '8'. n = 3.75 Simplifying n = 3.75
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