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Simplifying -3(n + -6) = 3 + -3(1 + 4n) Reorder the terms: -3(-6 + n) = 3 + -3(1 + 4n) (-6 * -3 + n * -3) = 3 + -3(1 + 4n) (18 + -3n) = 3 + -3(1 + 4n) 18 + -3n = 3 + (1 * -3 + 4n * -3) 18 + -3n = 3 + (-3 + -12n) Combine like terms: 3 + -3 = 0 18 + -3n = 0 + -12n 18 + -3n = -12n Solving 18 + -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. 18 + -3n + 12n = -12n + 12n Combine like terms: -3n + 12n = 9n 18 + 9n = -12n + 12n Combine like terms: -12n + 12n = 0 18 + 9n = 0 Add '-18' to each side of the equation. 18 + -18 + 9n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 9n = 0 + -18 9n = 0 + -18 Combine like terms: 0 + -18 = -18 9n = -18 Divide each side by '9'. n = -2 Simplifying n = -2
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