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Simplifying 10 + -9n + -8n = -6(-6 + -9n) + -4(11n + -7) Combine like terms: -9n + -8n = -17n 10 + -17n = -6(-6 + -9n) + -4(11n + -7) 10 + -17n = (-6 * -6 + -9n * -6) + -4(11n + -7) 10 + -17n = (36 + 54n) + -4(11n + -7) Reorder the terms: 10 + -17n = 36 + 54n + -4(-7 + 11n) 10 + -17n = 36 + 54n + (-7 * -4 + 11n * -4) 10 + -17n = 36 + 54n + (28 + -44n) Reorder the terms: 10 + -17n = 36 + 28 + 54n + -44n Combine like terms: 36 + 28 = 64 10 + -17n = 64 + 54n + -44n Combine like terms: 54n + -44n = 10n 10 + -17n = 64 + 10n Solving 10 + -17n = 64 + 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. 10 + -17n + -10n = 64 + 10n + -10n Combine like terms: -17n + -10n = -27n 10 + -27n = 64 + 10n + -10n Combine like terms: 10n + -10n = 0 10 + -27n = 64 + 0 10 + -27n = 64 Add '-10' to each side of the equation. 10 + -10 + -27n = 64 + -10 Combine like terms: 10 + -10 = 0 0 + -27n = 64 + -10 -27n = 64 + -10 Combine like terms: 64 + -10 = 54 -27n = 54 Divide each side by '-27'. n = -2 Simplifying n = -2
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