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Simplifying -2(-11n + 6) = -8(-6 + n) Reorder the terms: -2(6 + -11n) = -8(-6 + n) (6 * -2 + -11n * -2) = -8(-6 + n) (-12 + 22n) = -8(-6 + n) -12 + 22n = (-6 * -8 + n * -8) -12 + 22n = (48 + -8n) Solving -12 + 22n = 48 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -12 + 22n + 8n = 48 + -8n + 8n Combine like terms: 22n + 8n = 30n -12 + 30n = 48 + -8n + 8n Combine like terms: -8n + 8n = 0 -12 + 30n = 48 + 0 -12 + 30n = 48 Add '12' to each side of the equation. -12 + 12 + 30n = 48 + 12 Combine like terms: -12 + 12 = 0 0 + 30n = 48 + 12 30n = 48 + 12 Combine like terms: 48 + 12 = 60 30n = 60 Divide each side by '30'. n = 2 Simplifying n = 2
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