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Simplifying -36 + n = 3(8n + -2) + 7n Reorder the terms: -36 + n = 3(-2 + 8n) + 7n -36 + n = (-2 * 3 + 8n * 3) + 7n -36 + n = (-6 + 24n) + 7n Combine like terms: 24n + 7n = 31n -36 + n = -6 + 31n Solving -36 + n = -6 + 31n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-31n' to each side of the equation. -36 + n + -31n = -6 + 31n + -31n Combine like terms: n + -31n = -30n -36 + -30n = -6 + 31n + -31n Combine like terms: 31n + -31n = 0 -36 + -30n = -6 + 0 -36 + -30n = -6 Add '36' to each side of the equation. -36 + 36 + -30n = -6 + 36 Combine like terms: -36 + 36 = 0 0 + -30n = -6 + 36 -30n = -6 + 36 Combine like terms: -6 + 36 = 30 -30n = 30 Divide each side by '-30'. n = -1 Simplifying n = -1
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