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Simplifying 1 + 3(4n + 2) = -5 Reorder the terms: 1 + 3(2 + 4n) = -5 1 + (2 * 3 + 4n * 3) = -5 1 + (6 + 12n) = -5 Combine like terms: 1 + 6 = 7 7 + 12n = -5 Solving 7 + 12n = -5 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 12n = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 12n = -5 + -7 12n = -5 + -7 Combine like terms: -5 + -7 = -12 12n = -12 Divide each side by '12'. n = -1 Simplifying n = -1
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