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Simplifying 10n + -2 = 7n + 14 Reorder the terms: -2 + 10n = 7n + 14 Reorder the terms: -2 + 10n = 14 + 7n Solving -2 + 10n = 14 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -2 + 10n + -7n = 14 + 7n + -7n Combine like terms: 10n + -7n = 3n -2 + 3n = 14 + 7n + -7n Combine like terms: 7n + -7n = 0 -2 + 3n = 14 + 0 -2 + 3n = 14 Add '2' to each side of the equation. -2 + 2 + 3n = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 3n = 14 + 2 3n = 14 + 2 Combine like terms: 14 + 2 = 16 3n = 16 Divide each side by '3'. n = 5.333333333 Simplifying n = 5.333333333
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