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Simplifying 5n + 34 + -1(-2)(1 + -7n) = 0 Multiply -1 * -2 5n + 34 + 2(1 + -7n) = 0 5n + 34 + (1 * 2 + -7n * 2) = 0 5n + 34 + (2 + -14n) = 0 Reorder the terms: 34 + 2 + 5n + -14n = 0 Combine like terms: 34 + 2 = 36 36 + 5n + -14n = 0 Combine like terms: 5n + -14n = -9n 36 + -9n = 0 Solving 36 + -9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -9n = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -9n = 0 + -36 -9n = 0 + -36 Combine like terms: 0 + -36 = -36 -9n = -36 Divide each side by '-9'. n = 4 Simplifying n = 4
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