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Simplifying 2 + 4(1 + -4n) = 38 2 + (1 * 4 + -4n * 4) = 38 2 + (4 + -16n) = 38 Combine like terms: 2 + 4 = 6 6 + -16n = 38 Solving 6 + -16n = 38 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -16n = 38 + -6 Combine like terms: 6 + -6 = 0 0 + -16n = 38 + -6 -16n = 38 + -6 Combine like terms: 38 + -6 = 32 -16n = 32 Divide each side by '-16'. n = -2 Simplifying n = -2
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