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Simplifying 13n + -14 = 8 + -18 + 17n Reorder the terms: -14 + 13n = 8 + -18 + 17n Combine like terms: 8 + -18 = -10 -14 + 13n = -10 + 17n Solving -14 + 13n = -10 + 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. -14 + 13n + -17n = -10 + 17n + -17n Combine like terms: 13n + -17n = -4n -14 + -4n = -10 + 17n + -17n Combine like terms: 17n + -17n = 0 -14 + -4n = -10 + 0 -14 + -4n = -10 Add '14' to each side of the equation. -14 + 14 + -4n = -10 + 14 Combine like terms: -14 + 14 = 0 0 + -4n = -10 + 14 -4n = -10 + 14 Combine like terms: -10 + 14 = 4 -4n = 4 Divide each side by '-4'. n = -1 Simplifying n = -1
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