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Simplifying 1 + 5(7n + 2) = 0 Reorder the terms: 1 + 5(2 + 7n) = 0 1 + (2 * 5 + 7n * 5) = 0 1 + (10 + 35n) = 0 Combine like terms: 1 + 10 = 11 11 + 35n = 0 Solving 11 + 35n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 35n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 35n = 0 + -11 35n = 0 + -11 Combine like terms: 0 + -11 = -11 35n = -11 Divide each side by '35'. n = -0.3142857143 Simplifying n = -0.3142857143
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