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Simplifying 4n + 9 = 10n + -12 Reorder the terms: 9 + 4n = 10n + -12 Reorder the terms: 9 + 4n = -12 + 10n Solving 9 + 4n = -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. 9 + 4n + -10n = -12 + 10n + -10n Combine like terms: 4n + -10n = -6n 9 + -6n = -12 + 10n + -10n Combine like terms: 10n + -10n = 0 9 + -6n = -12 + 0 9 + -6n = -12 Add '-9' to each side of the equation. 9 + -9 + -6n = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -6n = -12 + -9 -6n = -12 + -9 Combine like terms: -12 + -9 = -21 -6n = -21 Divide each side by '-6'. n = 3.5 Simplifying n = 3.5
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