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Simplifying -4n + -36 = -5(6n + 2) Reorder the terms: -36 + -4n = -5(6n + 2) Reorder the terms: -36 + -4n = -5(2 + 6n) -36 + -4n = (2 * -5 + 6n * -5) -36 + -4n = (-10 + -30n) Solving -36 + -4n = -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. -36 + -4n + 30n = -10 + -30n + 30n Combine like terms: -4n + 30n = 26n -36 + 26n = -10 + -30n + 30n Combine like terms: -30n + 30n = 0 -36 + 26n = -10 + 0 -36 + 26n = -10 Add '36' to each side of the equation. -36 + 36 + 26n = -10 + 36 Combine like terms: -36 + 36 = 0 0 + 26n = -10 + 36 26n = -10 + 36 Combine like terms: -10 + 36 = 26 26n = 26 Divide each side by '26'. n = 1 Simplifying n = 1
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