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Simplifying -7(-1 + -5n) = 6(7 + 5n) (-1 * -7 + -5n * -7) = 6(7 + 5n) (7 + 35n) = 6(7 + 5n) 7 + 35n = (7 * 6 + 5n * 6) 7 + 35n = (42 + 30n) Solving 7 + 35n = 42 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 7 + 35n + -30n = 42 + 30n + -30n Combine like terms: 35n + -30n = 5n 7 + 5n = 42 + 30n + -30n Combine like terms: 30n + -30n = 0 7 + 5n = 42 + 0 7 + 5n = 42 Add '-7' to each side of the equation. 7 + -7 + 5n = 42 + -7 Combine like terms: 7 + -7 = 0 0 + 5n = 42 + -7 5n = 42 + -7 Combine like terms: 42 + -7 = 35 5n = 35 Divide each side by '5'. n = 7 Simplifying n = 7
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