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Simplifying -3(1 + 4n) + 3 = 12(n + -6) (1 * -3 + 4n * -3) + 3 = 12(n + -6) (-3 + -12n) + 3 = 12(n + -6) Reorder the terms: -3 + 3 + -12n = 12(n + -6) Combine like terms: -3 + 3 = 0 0 + -12n = 12(n + -6) -12n = 12(n + -6) Reorder the terms: -12n = 12(-6 + n) -12n = (-6 * 12 + n * 12) -12n = (-72 + 12n) Solving -12n = -72 + 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. -12n + -12n = -72 + 12n + -12n Combine like terms: -12n + -12n = -24n -24n = -72 + 12n + -12n Combine like terms: 12n + -12n = 0 -24n = -72 + 0 -24n = -72 Divide each side by '-24'. n = 3 Simplifying n = 3
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