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Simplifying 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 = 32 32 + 5n + 14n = 0 Combine like terms: 5n + 14n = 19n 32 + 19n = 0 Solving 32 + 19n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 19n = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 19n = 0 + -32 19n = 0 + -32 Combine like terms: 0 + -32 = -32 19n = -32 Divide each side by '19'. n = -1.684210526 Simplifying n = -1.684210526
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