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Simplifying 6 + 8 + 7n = -10 + 10n Combine like terms: 6 + 8 = 14 14 + 7n = -10 + 10n Solving 14 + 7n = -10 + 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. 14 + 7n + -10n = -10 + 10n + -10n Combine like terms: 7n + -10n = -3n 14 + -3n = -10 + 10n + -10n Combine like terms: 10n + -10n = 0 14 + -3n = -10 + 0 14 + -3n = -10 Add '-14' to each side of the equation. 14 + -14 + -3n = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -3n = -10 + -14 -3n = -10 + -14 Combine like terms: -10 + -14 = -24 -3n = -24 Divide each side by '-3'. n = 8 Simplifying n = 8
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