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Simplifying 12 + -6n = -2 + -4(7n + 2) Reorder the terms: 12 + -6n = -2 + -4(2 + 7n) 12 + -6n = -2 + (2 * -4 + 7n * -4) 12 + -6n = -2 + (-8 + -28n) Combine like terms: -2 + -8 = -10 12 + -6n = -10 + -28n Solving 12 + -6n = -10 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. 12 + -6n + 28n = -10 + -28n + 28n Combine like terms: -6n + 28n = 22n 12 + 22n = -10 + -28n + 28n Combine like terms: -28n + 28n = 0 12 + 22n = -10 + 0 12 + 22n = -10 Add '-12' to each side of the equation. 12 + -12 + 22n = -10 + -12 Combine like terms: 12 + -12 = 0 0 + 22n = -10 + -12 22n = -10 + -12 Combine like terms: -10 + -12 = -22 22n = -22 Divide each side by '22'. n = -1 Simplifying n = -1
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