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Simplifying -2(5 + -6n) = 30 + 7n (5 * -2 + -6n * -2) = 30 + 7n (-10 + 12n) = 30 + 7n Solving -10 + 12n = 30 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -10 + 12n + -7n = 30 + 7n + -7n Combine like terms: 12n + -7n = 5n -10 + 5n = 30 + 7n + -7n Combine like terms: 7n + -7n = 0 -10 + 5n = 30 + 0 -10 + 5n = 30 Add '10' to each side of the equation. -10 + 10 + 5n = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 5n = 30 + 10 5n = 30 + 10 Combine like terms: 30 + 10 = 40 5n = 40 Divide each side by '5'. n = 8 Simplifying n = 8
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