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Simplifying 4(n + 3p + 2) = 0 Reorder the terms: 4(2 + n + 3p) = 0 (2 * 4 + n * 4 + 3p * 4) = 0 (8 + 4n + 12p) = 0 Solving 8 + 4n + 12p = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 4n + -8 + 12p = 0 + -8 Reorder the terms: 8 + -8 + 4n + 12p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4n + 12p = 0 + -8 4n + 12p = 0 + -8 Combine like terms: 0 + -8 = -8 4n + 12p = -8 Add '-12p' to each side of the equation. 4n + 12p + -12p = -8 + -12p Combine like terms: 12p + -12p = 0 4n + 0 = -8 + -12p 4n = -8 + -12p Divide each side by '4'. n = -2 + -3p Simplifying n = -2 + -3p
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