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Simplifying 12 + -6n = -7(8 + -5n) + -7n 12 + -6n = (8 * -7 + -5n * -7) + -7n 12 + -6n = (-56 + 35n) + -7n Combine like terms: 35n + -7n = 28n 12 + -6n = -56 + 28n Solving 12 + -6n = -56 + 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 = -56 + 28n + -28n Combine like terms: -6n + -28n = -34n 12 + -34n = -56 + 28n + -28n Combine like terms: 28n + -28n = 0 12 + -34n = -56 + 0 12 + -34n = -56 Add '-12' to each side of the equation. 12 + -12 + -34n = -56 + -12 Combine like terms: 12 + -12 = 0 0 + -34n = -56 + -12 -34n = -56 + -12 Combine like terms: -56 + -12 = -68 -34n = -68 Divide each side by '-34'. n = 2 Simplifying n = 2
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