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Simplifying 12n + 7 = 10n + 15 Reorder the terms: 7 + 12n = 10n + 15 Reorder the terms: 7 + 12n = 15 + 10n Solving 7 + 12n = 15 + 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. 7 + 12n + -10n = 15 + 10n + -10n Combine like terms: 12n + -10n = 2n 7 + 2n = 15 + 10n + -10n Combine like terms: 10n + -10n = 0 7 + 2n = 15 + 0 7 + 2n = 15 Add '-7' to each side of the equation. 7 + -7 + 2n = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 2n = 15 + -7 2n = 15 + -7 Combine like terms: 15 + -7 = 8 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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