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Simplifying 3(7 + 8n) = -13 + 7n (7 * 3 + 8n * 3) = -13 + 7n (21 + 24n) = -13 + 7n Solving 21 + 24n = -13 + 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. 21 + 24n + -7n = -13 + 7n + -7n Combine like terms: 24n + -7n = 17n 21 + 17n = -13 + 7n + -7n Combine like terms: 7n + -7n = 0 21 + 17n = -13 + 0 21 + 17n = -13 Add '-21' to each side of the equation. 21 + -21 + 17n = -13 + -21 Combine like terms: 21 + -21 = 0 0 + 17n = -13 + -21 17n = -13 + -21 Combine like terms: -13 + -21 = -34 17n = -34 Divide each side by '17'. n = -2 Simplifying n = -2
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