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Simplifying 6(5n + -2) = 14 + 4n Reorder the terms: 6(-2 + 5n) = 14 + 4n (-2 * 6 + 5n * 6) = 14 + 4n (-12 + 30n) = 14 + 4n Solving -12 + 30n = 14 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -12 + 30n + -4n = 14 + 4n + -4n Combine like terms: 30n + -4n = 26n -12 + 26n = 14 + 4n + -4n Combine like terms: 4n + -4n = 0 -12 + 26n = 14 + 0 -12 + 26n = 14 Add '12' to each side of the equation. -12 + 12 + 26n = 14 + 12 Combine like terms: -12 + 12 = 0 0 + 26n = 14 + 12 26n = 14 + 12 Combine like terms: 14 + 12 = 26 26n = 26 Divide each side by '26'. n = 1 Simplifying n = 1
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