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Simplifying 12 + 2n = -7(n + 6) Reorder the terms: 12 + 2n = -7(6 + n) 12 + 2n = (6 * -7 + n * -7) 12 + 2n = (-42 + -7n) Solving 12 + 2n = -42 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 12 + 2n + 7n = -42 + -7n + 7n Combine like terms: 2n + 7n = 9n 12 + 9n = -42 + -7n + 7n Combine like terms: -7n + 7n = 0 12 + 9n = -42 + 0 12 + 9n = -42 Add '-12' to each side of the equation. 12 + -12 + 9n = -42 + -12 Combine like terms: 12 + -12 = 0 0 + 9n = -42 + -12 9n = -42 + -12 Combine like terms: -42 + -12 = -54 9n = -54 Divide each side by '9'. n = -6 Simplifying n = -6
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