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Simplifying 5(3n + -2) + -11n = 2n + -1 Reorder the terms: 5(-2 + 3n) + -11n = 2n + -1 (-2 * 5 + 3n * 5) + -11n = 2n + -1 (-10 + 15n) + -11n = 2n + -1 Combine like terms: 15n + -11n = 4n -10 + 4n = 2n + -1 Reorder the terms: -10 + 4n = -1 + 2n Solving -10 + 4n = -1 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -10 + 4n + -2n = -1 + 2n + -2n Combine like terms: 4n + -2n = 2n -10 + 2n = -1 + 2n + -2n Combine like terms: 2n + -2n = 0 -10 + 2n = -1 + 0 -10 + 2n = -1 Add '10' to each side of the equation. -10 + 10 + 2n = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 2n = -1 + 10 2n = -1 + 10 Combine like terms: -1 + 10 = 9 2n = 9 Divide each side by '2'. n = 4.5 Simplifying n = 4.5
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