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Simplifying 5(7n + -2) = 4(8n + 5) Reorder the terms: 5(-2 + 7n) = 4(8n + 5) (-2 * 5 + 7n * 5) = 4(8n + 5) (-10 + 35n) = 4(8n + 5) Reorder the terms: -10 + 35n = 4(5 + 8n) -10 + 35n = (5 * 4 + 8n * 4) -10 + 35n = (20 + 32n) Solving -10 + 35n = 20 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. -10 + 35n + -32n = 20 + 32n + -32n Combine like terms: 35n + -32n = 3n -10 + 3n = 20 + 32n + -32n Combine like terms: 32n + -32n = 0 -10 + 3n = 20 + 0 -10 + 3n = 20 Add '10' to each side of the equation. -10 + 10 + 3n = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 3n = 20 + 10 3n = 20 + 10 Combine like terms: 20 + 10 = 30 3n = 30 Divide each side by '3'. n = 10 Simplifying n = 10
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