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Simplifying 12 = 8n + -1(2n + -3) Reorder the terms: 12 = 8n + -1(-3 + 2n) 12 = 8n + (-3 * -1 + 2n * -1) 12 = 8n + (3 + -2n) Reorder the terms: 12 = 3 + 8n + -2n Combine like terms: 8n + -2n = 6n 12 = 3 + 6n Solving 12 = 3 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 12 + -6n = 3 + 6n + -6n Combine like terms: 6n + -6n = 0 12 + -6n = 3 + 0 12 + -6n = 3 Add '-12' to each side of the equation. 12 + -12 + -6n = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -6n = 3 + -12 -6n = 3 + -12 Combine like terms: 3 + -12 = -9 -6n = -9 Divide each side by '-6'. n = 1.5 Simplifying n = 1.5
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