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Simplifying 2(7n + 1) = 100 Reorder the terms: 2(1 + 7n) = 100 (1 * 2 + 7n * 2) = 100 (2 + 14n) = 100 Solving 2 + 14n = 100 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 14n = 100 + -2 Combine like terms: 2 + -2 = 0 0 + 14n = 100 + -2 14n = 100 + -2 Combine like terms: 100 + -2 = 98 14n = 98 Divide each side by '14'. n = 7 Simplifying n = 7
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