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Simplifying -5(-10n + 6) = -5(-11 + -9n) Reorder the terms: -5(6 + -10n) = -5(-11 + -9n) (6 * -5 + -10n * -5) = -5(-11 + -9n) (-30 + 50n) = -5(-11 + -9n) -30 + 50n = (-11 * -5 + -9n * -5) -30 + 50n = (55 + 45n) Solving -30 + 50n = 55 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. -30 + 50n + -45n = 55 + 45n + -45n Combine like terms: 50n + -45n = 5n -30 + 5n = 55 + 45n + -45n Combine like terms: 45n + -45n = 0 -30 + 5n = 55 + 0 -30 + 5n = 55 Add '30' to each side of the equation. -30 + 30 + 5n = 55 + 30 Combine like terms: -30 + 30 = 0 0 + 5n = 55 + 30 5n = 55 + 30 Combine like terms: 55 + 30 = 85 5n = 85 Divide each side by '5'. n = 17 Simplifying n = 17
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