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Simplifying 9(8n + -5) + 13 = 12n + -2 Reorder the terms: 9(-5 + 8n) + 13 = 12n + -2 (-5 * 9 + 8n * 9) + 13 = 12n + -2 (-45 + 72n) + 13 = 12n + -2 Reorder the terms: -45 + 13 + 72n = 12n + -2 Combine like terms: -45 + 13 = -32 -32 + 72n = 12n + -2 Reorder the terms: -32 + 72n = -2 + 12n Solving -32 + 72n = -2 + 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. -32 + 72n + -12n = -2 + 12n + -12n Combine like terms: 72n + -12n = 60n -32 + 60n = -2 + 12n + -12n Combine like terms: 12n + -12n = 0 -32 + 60n = -2 + 0 -32 + 60n = -2 Add '32' to each side of the equation. -32 + 32 + 60n = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 60n = -2 + 32 60n = -2 + 32 Combine like terms: -2 + 32 = 30 60n = 30 Divide each side by '60'. n = 0.5 Simplifying n = 0.5
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