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Simplifying -4(2n + 2) + 5(n + -5) = 0 Reorder the terms: -4(2 + 2n) + 5(n + -5) = 0 (2 * -4 + 2n * -4) + 5(n + -5) = 0 (-8 + -8n) + 5(n + -5) = 0 Reorder the terms: -8 + -8n + 5(-5 + n) = 0 -8 + -8n + (-5 * 5 + n * 5) = 0 -8 + -8n + (-25 + 5n) = 0 Reorder the terms: -8 + -25 + -8n + 5n = 0 Combine like terms: -8 + -25 = -33 -33 + -8n + 5n = 0 Combine like terms: -8n + 5n = -3n -33 + -3n = 0 Solving -33 + -3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -3n = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -3n = 0 + 33 -3n = 0 + 33 Combine like terms: 0 + 33 = 33 -3n = 33 Divide each side by '-3'. n = -11 Simplifying n = -11
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