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Simplifying -22 + 2n = -6(5n + -7) Reorder the terms: -22 + 2n = -6(-7 + 5n) -22 + 2n = (-7 * -6 + 5n * -6) -22 + 2n = (42 + -30n) Solving -22 + 2n = 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. -22 + 2n + 30n = 42 + -30n + 30n Combine like terms: 2n + 30n = 32n -22 + 32n = 42 + -30n + 30n Combine like terms: -30n + 30n = 0 -22 + 32n = 42 + 0 -22 + 32n = 42 Add '22' to each side of the equation. -22 + 22 + 32n = 42 + 22 Combine like terms: -22 + 22 = 0 0 + 32n = 42 + 22 32n = 42 + 22 Combine like terms: 42 + 22 = 64 32n = 64 Divide each side by '32'. n = 2 Simplifying n = 2
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