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Simplifying 14 + 2n + -6 + 8n = 4n + -21 + 3n Reorder the terms: 14 + -6 + 2n + 8n = 4n + -21 + 3n Combine like terms: 14 + -6 = 8 8 + 2n + 8n = 4n + -21 + 3n Combine like terms: 2n + 8n = 10n 8 + 10n = 4n + -21 + 3n Reorder the terms: 8 + 10n = -21 + 4n + 3n Combine like terms: 4n + 3n = 7n 8 + 10n = -21 + 7n Solving 8 + 10n = -21 + 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. 8 + 10n + -7n = -21 + 7n + -7n Combine like terms: 10n + -7n = 3n 8 + 3n = -21 + 7n + -7n Combine like terms: 7n + -7n = 0 8 + 3n = -21 + 0 8 + 3n = -21 Add '-8' to each side of the equation. 8 + -8 + 3n = -21 + -8 Combine like terms: 8 + -8 = 0 0 + 3n = -21 + -8 3n = -21 + -8 Combine like terms: -21 + -8 = -29 3n = -29 Divide each side by '3'. n = -9.666666667 Simplifying n = -9.666666667
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