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Simplifying -5n + 25 = -7(6n + 7) Reorder the terms: 25 + -5n = -7(6n + 7) Reorder the terms: 25 + -5n = -7(7 + 6n) 25 + -5n = (7 * -7 + 6n * -7) 25 + -5n = (-49 + -42n) Solving 25 + -5n = -49 + -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. 25 + -5n + 42n = -49 + -42n + 42n Combine like terms: -5n + 42n = 37n 25 + 37n = -49 + -42n + 42n Combine like terms: -42n + 42n = 0 25 + 37n = -49 + 0 25 + 37n = -49 Add '-25' to each side of the equation. 25 + -25 + 37n = -49 + -25 Combine like terms: 25 + -25 = 0 0 + 37n = -49 + -25 37n = -49 + -25 Combine like terms: -49 + -25 = -74 37n = -74 Divide each side by '37'. n = -2 Simplifying n = -2
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