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Simplifying 12 + -1(n + 4) = 3n Reorder the terms: 12 + -1(4 + n) = 3n 12 + (4 * -1 + n * -1) = 3n 12 + (-4 + -1n) = 3n Combine like terms: 12 + -4 = 8 8 + -1n = 3n Solving 8 + -1n = 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 8 + -1n + -3n = 3n + -3n Combine like terms: -1n + -3n = -4n 8 + -4n = 3n + -3n Combine like terms: 3n + -3n = 0 8 + -4n = 0 Add '-8' to each side of the equation. 8 + -8 + -4n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4n = 0 + -8 -4n = 0 + -8 Combine like terms: 0 + -8 = -8 -4n = -8 Divide each side by '-4'. n = 2 Simplifying n = 2
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