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Simplifying -30 + -8n = -2(1 + 6n) -30 + -8n = (1 * -2 + 6n * -2) -30 + -8n = (-2 + -12n) Solving -30 + -8n = -2 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -30 + -8n + 12n = -2 + -12n + 12n Combine like terms: -8n + 12n = 4n -30 + 4n = -2 + -12n + 12n Combine like terms: -12n + 12n = 0 -30 + 4n = -2 + 0 -30 + 4n = -2 Add '30' to each side of the equation. -30 + 30 + 4n = -2 + 30 Combine like terms: -30 + 30 = 0 0 + 4n = -2 + 30 4n = -2 + 30 Combine like terms: -2 + 30 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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