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Simplifying -5(5n + -7) = 7n + -29 Reorder the terms: -5(-7 + 5n) = 7n + -29 (-7 * -5 + 5n * -5) = 7n + -29 (35 + -25n) = 7n + -29 Reorder the terms: 35 + -25n = -29 + 7n Solving 35 + -25n = -29 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 35 + -25n + -7n = -29 + 7n + -7n Combine like terms: -25n + -7n = -32n 35 + -32n = -29 + 7n + -7n Combine like terms: 7n + -7n = 0 35 + -32n = -29 + 0 35 + -32n = -29 Add '-35' to each side of the equation. 35 + -35 + -32n = -29 + -35 Combine like terms: 35 + -35 = 0 0 + -32n = -29 + -35 -32n = -29 + -35 Combine like terms: -29 + -35 = -64 -32n = -64 Divide each side by '-32'. n = 2 Simplifying n = 2
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