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Simplifying 112 = 5(6n + -2) + 2 Reorder the terms: 112 = 5(-2 + 6n) + 2 112 = (-2 * 5 + 6n * 5) + 2 112 = (-10 + 30n) + 2 Reorder the terms: 112 = -10 + 2 + 30n Combine like terms: -10 + 2 = -8 112 = -8 + 30n Solving 112 = -8 + 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. 112 + -30n = -8 + 30n + -30n Combine like terms: 30n + -30n = 0 112 + -30n = -8 + 0 112 + -30n = -8 Add '-112' to each side of the equation. 112 + -112 + -30n = -8 + -112 Combine like terms: 112 + -112 = 0 0 + -30n = -8 + -112 -30n = -8 + -112 Combine like terms: -8 + -112 = -120 -30n = -120 Divide each side by '-30'. n = 4 Simplifying n = 4
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