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Simplifying 3(1 + 4n) = -3(n + -6) (1 * 3 + 4n * 3) = -3(n + -6) (3 + 12n) = -3(n + -6) Reorder the terms: 3 + 12n = -3(-6 + n) 3 + 12n = (-6 * -3 + n * -3) 3 + 12n = (18 + -3n) Solving 3 + 12n = 18 + -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. 3 + 12n + 3n = 18 + -3n + 3n Combine like terms: 12n + 3n = 15n 3 + 15n = 18 + -3n + 3n Combine like terms: -3n + 3n = 0 3 + 15n = 18 + 0 3 + 15n = 18 Add '-3' to each side of the equation. 3 + -3 + 15n = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 15n = 18 + -3 15n = 18 + -3 Combine like terms: 18 + -3 = 15 15n = 15 Divide each side by '15'. n = 1 Simplifying n = 1
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