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Simplifying -12n + 5 = -10n + -9 Reorder the terms: 5 + -12n = -10n + -9 Reorder the terms: 5 + -12n = -9 + -10n Solving 5 + -12n = -9 + -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. 5 + -12n + 10n = -9 + -10n + 10n Combine like terms: -12n + 10n = -2n 5 + -2n = -9 + -10n + 10n Combine like terms: -10n + 10n = 0 5 + -2n = -9 + 0 5 + -2n = -9 Add '-5' to each side of the equation. 5 + -5 + -2n = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = -9 + -5 -2n = -9 + -5 Combine like terms: -9 + -5 = -14 -2n = -14 Divide each side by '-2'. n = 7 Simplifying n = 7
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