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Simplifying 4(3n + -4) + 32 = 42 Reorder the terms: 4(-4 + 3n) + 32 = 42 (-4 * 4 + 3n * 4) + 32 = 42 (-16 + 12n) + 32 = 42 Reorder the terms: -16 + 32 + 12n = 42 Combine like terms: -16 + 32 = 16 16 + 12n = 42 Solving 16 + 12n = 42 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 = 42 + -16 Combine like terms: 16 + -16 = 0 0 + 12n = 42 + -16 12n = 42 + -16 Combine like terms: 42 + -16 = 26 12n = 26 Divide each side by '12'. n = 2.166666667 Simplifying n = 2.166666667
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