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Simplifying -8n + 40 = 12n + -5 Reorder the terms: 40 + -8n = 12n + -5 Reorder the terms: 40 + -8n = -5 + 12n Solving 40 + -8n = -5 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 40 + -8n + -12n = -5 + 12n + -12n Combine like terms: -8n + -12n = -20n 40 + -20n = -5 + 12n + -12n Combine like terms: 12n + -12n = 0 40 + -20n = -5 + 0 40 + -20n = -5 Add '-40' to each side of the equation. 40 + -40 + -20n = -5 + -40 Combine like terms: 40 + -40 = 0 0 + -20n = -5 + -40 -20n = -5 + -40 Combine like terms: -5 + -40 = -45 -20n = -45 Divide each side by '-20'. n = 2.25 Simplifying n = 2.25
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