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Simplifying 5(3n + -4) = (8n + 1) + 7 Reorder the terms: 5(-4 + 3n) = (8n + 1) + 7 (-4 * 5 + 3n * 5) = (8n + 1) + 7 (-20 + 15n) = (8n + 1) + 7 Reorder the terms: -20 + 15n = (1 + 8n) + 7 Remove parenthesis around (1 + 8n) -20 + 15n = 1 + 8n + 7 Reorder the terms: -20 + 15n = 1 + 7 + 8n Combine like terms: 1 + 7 = 8 -20 + 15n = 8 + 8n Solving -20 + 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. -20 + 15n + -8n = 8 + 8n + -8n Combine like terms: 15n + -8n = 7n -20 + 7n = 8 + 8n + -8n Combine like terms: 8n + -8n = 0 -20 + 7n = 8 + 0 -20 + 7n = 8 Add '20' to each side of the equation. -20 + 20 + 7n = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 7n = 8 + 20 7n = 8 + 20 Combine like terms: 8 + 20 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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