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Simplifying 10n + -12 = 48 + -2n Reorder the terms: -12 + 10n = 48 + -2n Solving -12 + 10n = 48 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -12 + 10n + 2n = 48 + -2n + 2n Combine like terms: 10n + 2n = 12n -12 + 12n = 48 + -2n + 2n Combine like terms: -2n + 2n = 0 -12 + 12n = 48 + 0 -12 + 12n = 48 Add '12' to each side of the equation. -12 + 12 + 12n = 48 + 12 Combine like terms: -12 + 12 = 0 0 + 12n = 48 + 12 12n = 48 + 12 Combine like terms: 48 + 12 = 60 12n = 60 Divide each side by '12'. n = 5 Simplifying n = 5
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