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Simplifying 2(5n + 2) = -12 + 6n Reorder the terms: 2(2 + 5n) = -12 + 6n (2 * 2 + 5n * 2) = -12 + 6n (4 + 10n) = -12 + 6n Solving 4 + 10n = -12 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 4 + 10n + -6n = -12 + 6n + -6n Combine like terms: 10n + -6n = 4n 4 + 4n = -12 + 6n + -6n Combine like terms: 6n + -6n = 0 4 + 4n = -12 + 0 4 + 4n = -12 Add '-4' to each side of the equation. 4 + -4 + 4n = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 4n = -12 + -4 4n = -12 + -4 Combine like terms: -12 + -4 = -16 4n = -16 Divide each side by '4'. n = -4 Simplifying n = -4
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