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Simplifying -36 + -4n = -6(5n + -7) Reorder the terms: -36 + -4n = -6(-7 + 5n) -36 + -4n = (-7 * -6 + 5n * -6) -36 + -4n = (42 + -30n) Solving -36 + -4n = 42 + -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 = 42 + -30n + 30n Combine like terms: -4n + 30n = 26n -36 + 26n = 42 + -30n + 30n Combine like terms: -30n + 30n = 0 -36 + 26n = 42 + 0 -36 + 26n = 42 Add '36' to each side of the equation. -36 + 36 + 26n = 42 + 36 Combine like terms: -36 + 36 = 0 0 + 26n = 42 + 36 26n = 42 + 36 Combine like terms: 42 + 36 = 78 26n = 78 Divide each side by '26'. n = 3 Simplifying n = 3
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