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Simplifying -189 = 3(1 + -8n) -189 = (1 * 3 + -8n * 3) -189 = (3 + -24n) Solving -189 = 3 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -189 + 24n = 3 + -24n + 24n Combine like terms: -24n + 24n = 0 -189 + 24n = 3 + 0 -189 + 24n = 3 Add '189' to each side of the equation. -189 + 189 + 24n = 3 + 189 Combine like terms: -189 + 189 = 0 0 + 24n = 3 + 189 24n = 3 + 189 Combine like terms: 3 + 189 = 192 24n = 192 Divide each side by '24'. n = 8 Simplifying n = 8
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