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Simplifying 10n + -6 + 8 = -2(12 + -9n) + -9(9 + -11n) Reorder the terms: -6 + 8 + 10n = -2(12 + -9n) + -9(9 + -11n) Combine like terms: -6 + 8 = 2 2 + 10n = -2(12 + -9n) + -9(9 + -11n) 2 + 10n = (12 * -2 + -9n * -2) + -9(9 + -11n) 2 + 10n = (-24 + 18n) + -9(9 + -11n) 2 + 10n = -24 + 18n + (9 * -9 + -11n * -9) 2 + 10n = -24 + 18n + (-81 + 99n) Reorder the terms: 2 + 10n = -24 + -81 + 18n + 99n Combine like terms: -24 + -81 = -105 2 + 10n = -105 + 18n + 99n Combine like terms: 18n + 99n = 117n 2 + 10n = -105 + 117n Solving 2 + 10n = -105 + 117n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-117n' to each side of the equation. 2 + 10n + -117n = -105 + 117n + -117n Combine like terms: 10n + -117n = -107n 2 + -107n = -105 + 117n + -117n Combine like terms: 117n + -117n = 0 2 + -107n = -105 + 0 2 + -107n = -105 Add '-2' to each side of the equation. 2 + -2 + -107n = -105 + -2 Combine like terms: 2 + -2 = 0 0 + -107n = -105 + -2 -107n = -105 + -2 Combine like terms: -105 + -2 = -107 -107n = -107 Divide each side by '-107'. n = 1 Simplifying n = 1
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