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Simplifying 8 + -5n = 10 + -4n Solving 8 + -5n = 10 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 8 + -5n + 4n = 10 + -4n + 4n Combine like terms: -5n + 4n = -1n 8 + -1n = 10 + -4n + 4n Combine like terms: -4n + 4n = 0 8 + -1n = 10 + 0 8 + -1n = 10 Add '-8' to each side of the equation. 8 + -8 + -1n = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 10 + -8 -1n = 10 + -8 Combine like terms: 10 + -8 = 2 -1n = 2 Divide each side by '-1'. n = -2 Simplifying n = -2
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