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Simplifying 10n + 8 = 12n + -12 Reorder the terms: 8 + 10n = 12n + -12 Reorder the terms: 8 + 10n = -12 + 12n Solving 8 + 10n = -12 + 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. 8 + 10n + -12n = -12 + 12n + -12n Combine like terms: 10n + -12n = -2n 8 + -2n = -12 + 12n + -12n Combine like terms: 12n + -12n = 0 8 + -2n = -12 + 0 8 + -2n = -12 Add '-8' to each side of the equation. 8 + -8 + -2n = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -2n = -12 + -8 -2n = -12 + -8 Combine like terms: -12 + -8 = -20 -2n = -20 Divide each side by '-2'. n = 10 Simplifying n = 10
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