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Simplifying 5n + -1(6n + -7) = 0 Reorder the terms: 5n + -1(-7 + 6n) = 0 5n + (-7 * -1 + 6n * -1) = 0 5n + (7 + -6n) = 0 Reorder the terms: 7 + 5n + -6n = 0 Combine like terms: 5n + -6n = -1n 7 + -1n = 0 Solving 7 + -1n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 0 + -7 -1n = 0 + -7 Combine like terms: 0 + -7 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7
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