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Simplifying (8n + (-5)) + -1(6n + (-4)) = 0 (8n + -5) + -1(6n + (-4)) = 0 Reorder the terms: (-5 + 8n) + -1(6n + (-4)) = 0 Remove parenthesis around (-5 + 8n) -5 + 8n + -1(6n + (-4)) = 0 -5 + 8n + -1(6n + -4) = 0 Reorder the terms: -5 + 8n + -1(-4 + 6n) = 0 -5 + 8n + (-4 * -1 + 6n * -1) = 0 -5 + 8n + (4 + -6n) = 0 Reorder the terms: -5 + 4 + 8n + -6n = 0 Combine like terms: -5 + 4 = -1 -1 + 8n + -6n = 0 Combine like terms: 8n + -6n = 2n -1 + 2n = 0 Solving -1 + 2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2n = 0 + 1 2n = 0 + 1 Combine like terms: 0 + 1 = 1 2n = 1 Divide each side by '2'. n = 0.5 Simplifying n = 0.5
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