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Simplifying -157 = 5 + -6(-3 + 5n) -157 = 5 + (-3 * -6 + 5n * -6) -157 = 5 + (18 + -30n) Combine like terms: 5 + 18 = 23 -157 = 23 + -30n Solving -157 = 23 + -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. -157 + 30n = 23 + -30n + 30n Combine like terms: -30n + 30n = 0 -157 + 30n = 23 + 0 -157 + 30n = 23 Add '157' to each side of the equation. -157 + 157 + 30n = 23 + 157 Combine like terms: -157 + 157 = 0 0 + 30n = 23 + 157 30n = 23 + 157 Combine like terms: 23 + 157 = 180 30n = 180 Divide each side by '30'. n = 6 Simplifying n = 6
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