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Simplifying 3(4n + -2) + 22 = 40 Reorder the terms: 3(-2 + 4n) + 22 = 40 (-2 * 3 + 4n * 3) + 22 = 40 (-6 + 12n) + 22 = 40 Reorder the terms: -6 + 22 + 12n = 40 Combine like terms: -6 + 22 = 16 16 + 12n = 40 Solving 16 + 12n = 40 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 12n = 40 + -16 Combine like terms: 16 + -16 = 0 0 + 12n = 40 + -16 12n = 40 + -16 Combine like terms: 40 + -16 = 24 12n = 24 Divide each side by '12'. n = 2 Simplifying n = 2
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