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Simplifying -22 + n = -5(-8 + 6n) -22 + n = (-8 * -5 + 6n * -5) -22 + n = (40 + -30n) Solving -22 + n = 40 + -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 + n + 30n = 40 + -30n + 30n Combine like terms: n + 30n = 31n -22 + 31n = 40 + -30n + 30n Combine like terms: -30n + 30n = 0 -22 + 31n = 40 + 0 -22 + 31n = 40 Add '22' to each side of the equation. -22 + 22 + 31n = 40 + 22 Combine like terms: -22 + 22 = 0 0 + 31n = 40 + 22 31n = 40 + 22 Combine like terms: 40 + 22 = 62 31n = 62 Divide each side by '31'. n = 2 Simplifying n = 2
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