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Simplifying 7(1 + 3n) + -4 = 102 (1 * 7 + 3n * 7) + -4 = 102 (7 + 21n) + -4 = 102 Reorder the terms: 7 + -4 + 21n = 102 Combine like terms: 7 + -4 = 3 3 + 21n = 102 Solving 3 + 21n = 102 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 21n = 102 + -3 Combine like terms: 3 + -3 = 0 0 + 21n = 102 + -3 21n = 102 + -3 Combine like terms: 102 + -3 = 99 21n = 99 Divide each side by '21'. n = 4.714285714 Simplifying n = 4.714285714
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