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Simplifying 17 + 7n = 9 + 10n Solving 17 + 7n = 9 + 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. 17 + 7n + -10n = 9 + 10n + -10n Combine like terms: 7n + -10n = -3n 17 + -3n = 9 + 10n + -10n Combine like terms: 10n + -10n = 0 17 + -3n = 9 + 0 17 + -3n = 9 Add '-17' to each side of the equation. 17 + -17 + -3n = 9 + -17 Combine like terms: 17 + -17 = 0 0 + -3n = 9 + -17 -3n = 9 + -17 Combine like terms: 9 + -17 = -8 -3n = -8 Divide each side by '-3'. n = 2.666666667 Simplifying n = 2.666666667
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