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Simplifying 4(1 + 3n) = -4(n + 3) (1 * 4 + 3n * 4) = -4(n + 3) (4 + 12n) = -4(n + 3) Reorder the terms: 4 + 12n = -4(3 + n) 4 + 12n = (3 * -4 + n * -4) 4 + 12n = (-12 + -4n) Solving 4 + 12n = -12 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 4 + 12n + 4n = -12 + -4n + 4n Combine like terms: 12n + 4n = 16n 4 + 16n = -12 + -4n + 4n Combine like terms: -4n + 4n = 0 4 + 16n = -12 + 0 4 + 16n = -12 Add '-4' to each side of the equation. 4 + -4 + 16n = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 16n = -12 + -4 16n = -12 + -4 Combine like terms: -12 + -4 = -16 16n = -16 Divide each side by '16'. n = -1 Simplifying n = -1
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