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Simplifying 2n = 3(4n + -10) Reorder the terms: 2n = 3(-10 + 4n) 2n = (-10 * 3 + 4n * 3) 2n = (-30 + 12n) Solving 2n = -30 + 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. 2n + -12n = -30 + 12n + -12n Combine like terms: 2n + -12n = -10n -10n = -30 + 12n + -12n Combine like terms: 12n + -12n = 0 -10n = -30 + 0 -10n = -30 Divide each side by '-10'. n = 3 Simplifying n = 3
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