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Simplifying 2n + -3(6 + 2n) = 3(n + -8) 2n + (6 * -3 + 2n * -3) = 3(n + -8) 2n + (-18 + -6n) = 3(n + -8) Reorder the terms: -18 + 2n + -6n = 3(n + -8) Combine like terms: 2n + -6n = -4n -18 + -4n = 3(n + -8) Reorder the terms: -18 + -4n = 3(-8 + n) -18 + -4n = (-8 * 3 + n * 3) -18 + -4n = (-24 + 3n) Solving -18 + -4n = -24 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -18 + -4n + -3n = -24 + 3n + -3n Combine like terms: -4n + -3n = -7n -18 + -7n = -24 + 3n + -3n Combine like terms: 3n + -3n = 0 -18 + -7n = -24 + 0 -18 + -7n = -24 Add '18' to each side of the equation. -18 + 18 + -7n = -24 + 18 Combine like terms: -18 + 18 = 0 0 + -7n = -24 + 18 -7n = -24 + 18 Combine like terms: -24 + 18 = -6 -7n = -6 Divide each side by '-7'. n = 0.8571428571 Simplifying n = 0.8571428571
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