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Simplifying -125 = 3(1 + -8n) + 8n -125 = (1 * 3 + -8n * 3) + 8n -125 = (3 + -24n) + 8n Combine like terms: -24n + 8n = -16n -125 = 3 + -16n Solving -125 = 3 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. -125 + 16n = 3 + -16n + 16n Combine like terms: -16n + 16n = 0 -125 + 16n = 3 + 0 -125 + 16n = 3 Add '125' to each side of the equation. -125 + 125 + 16n = 3 + 125 Combine like terms: -125 + 125 = 0 0 + 16n = 3 + 125 16n = 3 + 125 Combine like terms: 3 + 125 = 128 16n = 128 Divide each side by '16'. n = 8 Simplifying n = 8
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