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Simplifying 8 + 12n + -3 = 7n + 45 + -5n Reorder the terms: 8 + -3 + 12n = 7n + 45 + -5n Combine like terms: 8 + -3 = 5 5 + 12n = 7n + 45 + -5n Reorder the terms: 5 + 12n = 45 + 7n + -5n Combine like terms: 7n + -5n = 2n 5 + 12n = 45 + 2n Solving 5 + 12n = 45 + 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. 5 + 12n + -2n = 45 + 2n + -2n Combine like terms: 12n + -2n = 10n 5 + 10n = 45 + 2n + -2n Combine like terms: 2n + -2n = 0 5 + 10n = 45 + 0 5 + 10n = 45 Add '-5' to each side of the equation. 5 + -5 + 10n = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 10n = 45 + -5 10n = 45 + -5 Combine like terms: 45 + -5 = 40 10n = 40 Divide each side by '10'. n = 4 Simplifying n = 4
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