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Simplifying -186 = -6(5n + -4) Reorder the terms: -186 = -6(-4 + 5n) -186 = (-4 * -6 + 5n * -6) -186 = (24 + -30n) Solving -186 = 24 + -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. -186 + 30n = 24 + -30n + 30n Combine like terms: -30n + 30n = 0 -186 + 30n = 24 + 0 -186 + 30n = 24 Add '186' to each side of the equation. -186 + 186 + 30n = 24 + 186 Combine like terms: -186 + 186 = 0 0 + 30n = 24 + 186 30n = 24 + 186 Combine like terms: 24 + 186 = 210 30n = 210 Divide each side by '30'. n = 7 Simplifying n = 7
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