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Simplifying 12(n + 7) = -3(n + 2) Reorder the terms: 12(7 + n) = -3(n + 2) (7 * 12 + n * 12) = -3(n + 2) (84 + 12n) = -3(n + 2) Reorder the terms: 84 + 12n = -3(2 + n) 84 + 12n = (2 * -3 + n * -3) 84 + 12n = (-6 + -3n) Solving 84 + 12n = -6 + -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. 84 + 12n + 3n = -6 + -3n + 3n Combine like terms: 12n + 3n = 15n 84 + 15n = -6 + -3n + 3n Combine like terms: -3n + 3n = 0 84 + 15n = -6 + 0 84 + 15n = -6 Add '-84' to each side of the equation. 84 + -84 + 15n = -6 + -84 Combine like terms: 84 + -84 = 0 0 + 15n = -6 + -84 15n = -6 + -84 Combine like terms: -6 + -84 = -90 15n = -90 Divide each side by '15'. n = -6 Simplifying n = -6
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