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Simplifying 19n + 15 = 10n + -12 Reorder the terms: 15 + 19n = 10n + -12 Reorder the terms: 15 + 19n = -12 + 10n Solving 15 + 19n = -12 + 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. 15 + 19n + -10n = -12 + 10n + -10n Combine like terms: 19n + -10n = 9n 15 + 9n = -12 + 10n + -10n Combine like terms: 10n + -10n = 0 15 + 9n = -12 + 0 15 + 9n = -12 Add '-15' to each side of the equation. 15 + -15 + 9n = -12 + -15 Combine like terms: 15 + -15 = 0 0 + 9n = -12 + -15 9n = -12 + -15 Combine like terms: -12 + -15 = -27 9n = -27 Divide each side by '9'. n = -3 Simplifying n = -3
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