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Simplifying 2(4n + -7) + -1(5n + -7) = 0 Reorder the terms: 2(-7 + 4n) + -1(5n + -7) = 0 (-7 * 2 + 4n * 2) + -1(5n + -7) = 0 (-14 + 8n) + -1(5n + -7) = 0 Reorder the terms: -14 + 8n + -1(-7 + 5n) = 0 -14 + 8n + (-7 * -1 + 5n * -1) = 0 -14 + 8n + (7 + -5n) = 0 Reorder the terms: -14 + 7 + 8n + -5n = 0 Combine like terms: -14 + 7 = -7 -7 + 8n + -5n = 0 Combine like terms: 8n + -5n = 3n -7 + 3n = 0 Solving -7 + 3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3n = 0 + 7 3n = 0 + 7 Combine like terms: 0 + 7 = 7 3n = 7 Divide each side by '3'. n = 2.333333333 Simplifying n = 2.333333333
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