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Simplifying -5(11n + -9) + 10n = 10(-12 + -10n) Reorder the terms: -5(-9 + 11n) + 10n = 10(-12 + -10n) (-9 * -5 + 11n * -5) + 10n = 10(-12 + -10n) (45 + -55n) + 10n = 10(-12 + -10n) Combine like terms: -55n + 10n = -45n 45 + -45n = 10(-12 + -10n) 45 + -45n = (-12 * 10 + -10n * 10) 45 + -45n = (-120 + -100n) Solving 45 + -45n = -120 + -100n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '100n' to each side of the equation. 45 + -45n + 100n = -120 + -100n + 100n Combine like terms: -45n + 100n = 55n 45 + 55n = -120 + -100n + 100n Combine like terms: -100n + 100n = 0 45 + 55n = -120 + 0 45 + 55n = -120 Add '-45' to each side of the equation. 45 + -45 + 55n = -120 + -45 Combine like terms: 45 + -45 = 0 0 + 55n = -120 + -45 55n = -120 + -45 Combine like terms: -120 + -45 = -165 55n = -165 Divide each side by '55'. n = -3 Simplifying n = -3
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