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Simplifying -8(n + -7) = 12 + 3n Reorder the terms: -8(-7 + n) = 12 + 3n (-7 * -8 + n * -8) = 12 + 3n (56 + -8n) = 12 + 3n Solving 56 + -8n = 12 + 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. 56 + -8n + -3n = 12 + 3n + -3n Combine like terms: -8n + -3n = -11n 56 + -11n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 56 + -11n = 12 + 0 56 + -11n = 12 Add '-56' to each side of the equation. 56 + -56 + -11n = 12 + -56 Combine like terms: 56 + -56 = 0 0 + -11n = 12 + -56 -11n = 12 + -56 Combine like terms: 12 + -56 = -44 -11n = -44 Divide each side by '-11'. n = 4 Simplifying n = 4
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