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Simplifying -4(n + -4) + -5(8n + -8) = 12 Reorder the terms: -4(-4 + n) + -5(8n + -8) = 12 (-4 * -4 + n * -4) + -5(8n + -8) = 12 (16 + -4n) + -5(8n + -8) = 12 Reorder the terms: 16 + -4n + -5(-8 + 8n) = 12 16 + -4n + (-8 * -5 + 8n * -5) = 12 16 + -4n + (40 + -40n) = 12 Reorder the terms: 16 + 40 + -4n + -40n = 12 Combine like terms: 16 + 40 = 56 56 + -4n + -40n = 12 Combine like terms: -4n + -40n = -44n 56 + -44n = 12 Solving 56 + -44n = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -44n = 12 + -56 Combine like terms: 56 + -56 = 0 0 + -44n = 12 + -56 -44n = 12 + -56 Combine like terms: 12 + -56 = -44 -44n = -44 Divide each side by '-44'. n = 1 Simplifying n = 1
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