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Simplifying 7n + -2(n + 5) = 3(5 + -1n) Reorder the terms: 7n + -2(5 + n) = 3(5 + -1n) 7n + (5 * -2 + n * -2) = 3(5 + -1n) 7n + (-10 + -2n) = 3(5 + -1n) Reorder the terms: -10 + 7n + -2n = 3(5 + -1n) Combine like terms: 7n + -2n = 5n -10 + 5n = 3(5 + -1n) -10 + 5n = (5 * 3 + -1n * 3) -10 + 5n = (15 + -3n) Solving -10 + 5n = 15 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -10 + 5n + 3n = 15 + -3n + 3n Combine like terms: 5n + 3n = 8n -10 + 8n = 15 + -3n + 3n Combine like terms: -3n + 3n = 0 -10 + 8n = 15 + 0 -10 + 8n = 15 Add '10' to each side of the equation. -10 + 10 + 8n = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 8n = 15 + 10 8n = 15 + 10 Combine like terms: 15 + 10 = 25 8n = 25 Divide each side by '8'. n = 3.125 Simplifying n = 3.125
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