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Simplifying -14n + -80 + -3 = 9n + 10 + 4n Reorder the terms: -80 + -3 + -14n = 9n + 10 + 4n Combine like terms: -80 + -3 = -83 -83 + -14n = 9n + 10 + 4n Reorder the terms: -83 + -14n = 10 + 9n + 4n Combine like terms: 9n + 4n = 13n -83 + -14n = 10 + 13n Solving -83 + -14n = 10 + 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. -83 + -14n + -13n = 10 + 13n + -13n Combine like terms: -14n + -13n = -27n -83 + -27n = 10 + 13n + -13n Combine like terms: 13n + -13n = 0 -83 + -27n = 10 + 0 -83 + -27n = 10 Add '83' to each side of the equation. -83 + 83 + -27n = 10 + 83 Combine like terms: -83 + 83 = 0 0 + -27n = 10 + 83 -27n = 10 + 83 Combine like terms: 10 + 83 = 93 -27n = 93 Divide each side by '-27'. n = -3.444444444 Simplifying n = -3.444444444
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