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Simplifying 10n + 4 + -13n = 2n + 5 + -4n Reorder the terms: 4 + 10n + -13n = 2n + 5 + -4n Combine like terms: 10n + -13n = -3n 4 + -3n = 2n + 5 + -4n Reorder the terms: 4 + -3n = 5 + 2n + -4n Combine like terms: 2n + -4n = -2n 4 + -3n = 5 + -2n Solving 4 + -3n = 5 + -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. 4 + -3n + 2n = 5 + -2n + 2n Combine like terms: -3n + 2n = -1n 4 + -1n = 5 + -2n + 2n Combine like terms: -2n + 2n = 0 4 + -1n = 5 + 0 4 + -1n = 5 Add '-4' to each side of the equation. 4 + -4 + -1n = 5 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 5 + -4 -1n = 5 + -4 Combine like terms: 5 + -4 = 1 -1n = 1 Divide each side by '-1'. n = -1 Simplifying n = -1
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