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Simplifying -5n + -7(-7 + 5n) + 2 = 0 -5n + (-7 * -7 + 5n * -7) + 2 = 0 -5n + (49 + -35n) + 2 = 0 Reorder the terms: 49 + 2 + -5n + -35n = 0 Combine like terms: 49 + 2 = 51 51 + -5n + -35n = 0 Combine like terms: -5n + -35n = -40n 51 + -40n = 0 Solving 51 + -40n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -40n = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -40n = 0 + -51 -40n = 0 + -51 Combine like terms: 0 + -51 = -51 -40n = -51 Divide each side by '-40'. n = 1.275 Simplifying n = 1.275
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