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Simplifying -119 = 5(7 + 6n) + -4 -119 = (7 * 5 + 6n * 5) + -4 -119 = (35 + 30n) + -4 Reorder the terms: -119 = 35 + -4 + 30n Combine like terms: 35 + -4 = 31 -119 = 31 + 30n Solving -119 = 31 + 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. -119 + -30n = 31 + 30n + -30n Combine like terms: 30n + -30n = 0 -119 + -30n = 31 + 0 -119 + -30n = 31 Add '119' to each side of the equation. -119 + 119 + -30n = 31 + 119 Combine like terms: -119 + 119 = 0 0 + -30n = 31 + 119 -30n = 31 + 119 Combine like terms: 31 + 119 = 150 -30n = 150 Divide each side by '-30'. n = -5 Simplifying n = -5
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