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Simplifying -6n + -20 = -2n + 5(1 + -3n) Reorder the terms: -20 + -6n = -2n + 5(1 + -3n) -20 + -6n = -2n + (1 * 5 + -3n * 5) -20 + -6n = -2n + (5 + -15n) Reorder the terms: -20 + -6n = 5 + -2n + -15n Combine like terms: -2n + -15n = -17n -20 + -6n = 5 + -17n Solving -20 + -6n = 5 + -17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '17n' to each side of the equation. -20 + -6n + 17n = 5 + -17n + 17n Combine like terms: -6n + 17n = 11n -20 + 11n = 5 + -17n + 17n Combine like terms: -17n + 17n = 0 -20 + 11n = 5 + 0 -20 + 11n = 5 Add '20' to each side of the equation. -20 + 20 + 11n = 5 + 20 Combine like terms: -20 + 20 = 0 0 + 11n = 5 + 20 11n = 5 + 20 Combine like terms: 5 + 20 = 25 11n = 25 Divide each side by '11'. n = 2.272727273 Simplifying n = 2.272727273
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