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Simplifying -36 + -2n = 6 + -6(5n + -7) Reorder the terms: -36 + -2n = 6 + -6(-7 + 5n) -36 + -2n = 6 + (-7 * -6 + 5n * -6) -36 + -2n = 6 + (42 + -30n) Combine like terms: 6 + 42 = 48 -36 + -2n = 48 + -30n Solving -36 + -2n = 48 + -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 + -2n + 30n = 48 + -30n + 30n Combine like terms: -2n + 30n = 28n -36 + 28n = 48 + -30n + 30n Combine like terms: -30n + 30n = 0 -36 + 28n = 48 + 0 -36 + 28n = 48 Add '36' to each side of the equation. -36 + 36 + 28n = 48 + 36 Combine like terms: -36 + 36 = 0 0 + 28n = 48 + 36 28n = 48 + 36 Combine like terms: 48 + 36 = 84 28n = 84 Divide each side by '28'. n = 3 Simplifying n = 3
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