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Simplifying 10 + -2n + 5n + 4 = 10n + 6 + -3n Reorder the terms: 10 + 4 + -2n + 5n = 10n + 6 + -3n Combine like terms: 10 + 4 = 14 14 + -2n + 5n = 10n + 6 + -3n Combine like terms: -2n + 5n = 3n 14 + 3n = 10n + 6 + -3n Reorder the terms: 14 + 3n = 6 + 10n + -3n Combine like terms: 10n + -3n = 7n 14 + 3n = 6 + 7n Solving 14 + 3n = 6 + 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. 14 + 3n + -7n = 6 + 7n + -7n Combine like terms: 3n + -7n = -4n 14 + -4n = 6 + 7n + -7n Combine like terms: 7n + -7n = 0 14 + -4n = 6 + 0 14 + -4n = 6 Add '-14' to each side of the equation. 14 + -14 + -4n = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -4n = 6 + -14 -4n = 6 + -14 Combine like terms: 6 + -14 = -8 -4n = -8 Divide each side by '-4'. n = 2 Simplifying n = 2
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