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Simplifying -3(n + 4) = 6(1 + -1n) Reorder the terms: -3(4 + n) = 6(1 + -1n) (4 * -3 + n * -3) = 6(1 + -1n) (-12 + -3n) = 6(1 + -1n) -12 + -3n = (1 * 6 + -1n * 6) -12 + -3n = (6 + -6n) Solving -12 + -3n = 6 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -12 + -3n + 6n = 6 + -6n + 6n Combine like terms: -3n + 6n = 3n -12 + 3n = 6 + -6n + 6n Combine like terms: -6n + 6n = 0 -12 + 3n = 6 + 0 -12 + 3n = 6 Add '12' to each side of the equation. -12 + 12 + 3n = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 3n = 6 + 12 3n = 6 + 12 Combine like terms: 6 + 12 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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