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Simplifying -3(n + 1) = 1 + -1(4 + -12n) Reorder the terms: -3(1 + n) = 1 + -1(4 + -12n) (1 * -3 + n * -3) = 1 + -1(4 + -12n) (-3 + -3n) = 1 + -1(4 + -12n) -3 + -3n = 1 + (4 * -1 + -12n * -1) -3 + -3n = 1 + (-4 + 12n) Combine like terms: 1 + -4 = -3 -3 + -3n = -3 + 12n Add '3' to each side of the equation. -3 + 3 + -3n = -3 + 3 + 12n Combine like terms: -3 + 3 = 0 0 + -3n = -3 + 3 + 12n -3n = -3 + 3 + 12n Combine like terms: -3 + 3 = 0 -3n = 0 + 12n -3n = 12n Solving -3n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -3n + -12n = 12n + -12n Combine like terms: -3n + -12n = -15n -15n = 12n + -12n Combine like terms: 12n + -12n = 0 -15n = 0 Divide each side by '-15'. n = 0 Simplifying n = 0
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