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Simplifying 5 + 2n = 12n + 15 Reorder the terms: 5 + 2n = 15 + 12n Solving 5 + 2n = 15 + 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. 5 + 2n + -12n = 15 + 12n + -12n Combine like terms: 2n + -12n = -10n 5 + -10n = 15 + 12n + -12n Combine like terms: 12n + -12n = 0 5 + -10n = 15 + 0 5 + -10n = 15 Add '-5' to each side of the equation. 5 + -5 + -10n = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -10n = 15 + -5 -10n = 15 + -5 Combine like terms: 15 + -5 = 10 -10n = 10 Divide each side by '-10'. n = -1 Simplifying n = -1
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