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Simplifying 142 = -3 + -5(1 + -6n) 142 = -3 + (1 * -5 + -6n * -5) 142 = -3 + (-5 + 30n) Combine like terms: -3 + -5 = -8 142 = -8 + 30n Solving 142 = -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. 142 + -30n = -8 + 30n + -30n Combine like terms: 30n + -30n = 0 142 + -30n = -8 + 0 142 + -30n = -8 Add '-142' to each side of the equation. 142 + -142 + -30n = -8 + -142 Combine like terms: 142 + -142 = 0 0 + -30n = -8 + -142 -30n = -8 + -142 Combine like terms: -8 + -142 = -150 -30n = -150 Divide each side by '-30'. n = 5 Simplifying n = 5
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