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Simplifying 5n + -1(9n + 13) = 3 + -1(9n + -8) Reorder the terms: 5n + -1(13 + 9n) = 3 + -1(9n + -8) 5n + (13 * -1 + 9n * -1) = 3 + -1(9n + -8) 5n + (-13 + -9n) = 3 + -1(9n + -8) Reorder the terms: -13 + 5n + -9n = 3 + -1(9n + -8) Combine like terms: 5n + -9n = -4n -13 + -4n = 3 + -1(9n + -8) Reorder the terms: -13 + -4n = 3 + -1(-8 + 9n) -13 + -4n = 3 + (-8 * -1 + 9n * -1) -13 + -4n = 3 + (8 + -9n) Combine like terms: 3 + 8 = 11 -13 + -4n = 11 + -9n Solving -13 + -4n = 11 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -13 + -4n + 9n = 11 + -9n + 9n Combine like terms: -4n + 9n = 5n -13 + 5n = 11 + -9n + 9n Combine like terms: -9n + 9n = 0 -13 + 5n = 11 + 0 -13 + 5n = 11 Add '13' to each side of the equation. -13 + 13 + 5n = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 5n = 11 + 13 5n = 11 + 13 Combine like terms: 11 + 13 = 24 5n = 24 Divide each side by '5'. n = 4.8 Simplifying n = 4.8
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