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Simplifying 7(3n + 3) = 2(7n + -3) + 8 Reorder the terms: 7(3 + 3n) = 2(7n + -3) + 8 (3 * 7 + 3n * 7) = 2(7n + -3) + 8 (21 + 21n) = 2(7n + -3) + 8 Reorder the terms: 21 + 21n = 2(-3 + 7n) + 8 21 + 21n = (-3 * 2 + 7n * 2) + 8 21 + 21n = (-6 + 14n) + 8 Reorder the terms: 21 + 21n = -6 + 8 + 14n Combine like terms: -6 + 8 = 2 21 + 21n = 2 + 14n Solving 21 + 21n = 2 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 21 + 21n + -14n = 2 + 14n + -14n Combine like terms: 21n + -14n = 7n 21 + 7n = 2 + 14n + -14n Combine like terms: 14n + -14n = 0 21 + 7n = 2 + 0 21 + 7n = 2 Add '-21' to each side of the equation. 21 + -21 + 7n = 2 + -21 Combine like terms: 21 + -21 = 0 0 + 7n = 2 + -21 7n = 2 + -21 Combine like terms: 2 + -21 = -19 7n = -19 Divide each side by '7'. n = -2.714285714 Simplifying n = -2.714285714
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