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Simplifying -3 + 12n = 10n + -19 Reorder the terms: -3 + 12n = -19 + 10n Solving -3 + 12n = -19 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -3 + 12n + -10n = -19 + 10n + -10n Combine like terms: 12n + -10n = 2n -3 + 2n = -19 + 10n + -10n Combine like terms: 10n + -10n = 0 -3 + 2n = -19 + 0 -3 + 2n = -19 Add '3' to each side of the equation. -3 + 3 + 2n = -19 + 3 Combine like terms: -3 + 3 = 0 0 + 2n = -19 + 3 2n = -19 + 3 Combine like terms: -19 + 3 = -16 2n = -16 Divide each side by '2'. n = -8 Simplifying n = -8
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