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Simplifying 7(n + -5) + -1(9 + -1n) = 0 Reorder the terms: 7(-5 + n) + -1(9 + -1n) = 0 (-5 * 7 + n * 7) + -1(9 + -1n) = 0 (-35 + 7n) + -1(9 + -1n) = 0 -35 + 7n + (9 * -1 + -1n * -1) = 0 -35 + 7n + (-9 + 1n) = 0 Reorder the terms: -35 + -9 + 7n + 1n = 0 Combine like terms: -35 + -9 = -44 -44 + 7n + 1n = 0 Combine like terms: 7n + 1n = 8n -44 + 8n = 0 Solving -44 + 8n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 8n = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 8n = 0 + 44 8n = 0 + 44 Combine like terms: 0 + 44 = 44 8n = 44 Divide each side by '8'. n = 5.5 Simplifying n = 5.5
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