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Simplifying 152 = -3 + 5(1 + 6n) 152 = -3 + (1 * 5 + 6n * 5) 152 = -3 + (5 + 30n) Combine like terms: -3 + 5 = 2 152 = 2 + 30n Solving 152 = 2 + 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. 152 + -30n = 2 + 30n + -30n Combine like terms: 30n + -30n = 0 152 + -30n = 2 + 0 152 + -30n = 2 Add '-152' to each side of the equation. 152 + -152 + -30n = 2 + -152 Combine like terms: 152 + -152 = 0 0 + -30n = 2 + -152 -30n = 2 + -152 Combine like terms: 2 + -152 = -150 -30n = -150 Divide each side by '-30'. n = 5 Simplifying n = 5
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