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Simplifying 3n + -2(5n + -8) = 12n + 32 Reorder the terms: 3n + -2(-8 + 5n) = 12n + 32 3n + (-8 * -2 + 5n * -2) = 12n + 32 3n + (16 + -10n) = 12n + 32 Reorder the terms: 16 + 3n + -10n = 12n + 32 Combine like terms: 3n + -10n = -7n 16 + -7n = 12n + 32 Reorder the terms: 16 + -7n = 32 + 12n Solving 16 + -7n = 32 + 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. 16 + -7n + -12n = 32 + 12n + -12n Combine like terms: -7n + -12n = -19n 16 + -19n = 32 + 12n + -12n Combine like terms: 12n + -12n = 0 16 + -19n = 32 + 0 16 + -19n = 32 Add '-16' to each side of the equation. 16 + -16 + -19n = 32 + -16 Combine like terms: 16 + -16 = 0 0 + -19n = 32 + -16 -19n = 32 + -16 Combine like terms: 32 + -16 = 16 -19n = 16 Divide each side by '-19'. n = -0.8421052632 Simplifying n = -0.8421052632
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