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Simplifying -140 = 5(1 + 6n) + 5 -140 = (1 * 5 + 6n * 5) + 5 -140 = (5 + 30n) + 5 Reorder the terms: -140 = 5 + 5 + 30n Combine like terms: 5 + 5 = 10 -140 = 10 + 30n Solving -140 = 10 + 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. -140 + -30n = 10 + 30n + -30n Combine like terms: 30n + -30n = 0 -140 + -30n = 10 + 0 -140 + -30n = 10 Add '140' to each side of the equation. -140 + 140 + -30n = 10 + 140 Combine like terms: -140 + 140 = 0 0 + -30n = 10 + 140 -30n = 10 + 140 Combine like terms: 10 + 140 = 150 -30n = 150 Divide each side by '-30'. n = -5 Simplifying n = -5
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