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Simplifying 25 + 4(3n + -12) = 1 Reorder the terms: 25 + 4(-12 + 3n) = 1 25 + (-12 * 4 + 3n * 4) = 1 25 + (-48 + 12n) = 1 Combine like terms: 25 + -48 = -23 -23 + 12n = 1 Solving -23 + 12n = 1 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 12n = 1 + 23 Combine like terms: -23 + 23 = 0 0 + 12n = 1 + 23 12n = 1 + 23 Combine like terms: 1 + 23 = 24 12n = 24 Divide each side by '12'. n = 2 Simplifying n = 2
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