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Simplifying 9 + 10 + 7n = -8 + 10n Combine like terms: 9 + 10 = 19 19 + 7n = -8 + 10n Solving 19 + 7n = -8 + 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. 19 + 7n + -10n = -8 + 10n + -10n Combine like terms: 7n + -10n = -3n 19 + -3n = -8 + 10n + -10n Combine like terms: 10n + -10n = 0 19 + -3n = -8 + 0 19 + -3n = -8 Add '-19' to each side of the equation. 19 + -19 + -3n = -8 + -19 Combine like terms: 19 + -19 = 0 0 + -3n = -8 + -19 -3n = -8 + -19 Combine like terms: -8 + -19 = -27 -3n = -27 Divide each side by '-3'. n = 9 Simplifying n = 9
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