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Simplifying 42 = -6(5n + -7) Reorder the terms: 42 = -6(-7 + 5n) 42 = (-7 * -6 + 5n * -6) 42 = (42 + -30n) Add '-42' to each side of the equation. 42 + -42 = 42 + -42 + -30n Combine like terms: 42 + -42 = 0 0 = 42 + -42 + -30n Combine like terms: 42 + -42 = 0 0 = 0 + -30n 0 = -30n Solving 0 = -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. 0 + 30n = -30n + 30n Remove the zero: 30n = -30n + 30n Combine like terms: -30n + 30n = 0 30n = 0 Divide each side by '30'. n = 0 Simplifying n = 0
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