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Simplifying 8 + -5n + 3n = 41 + -65 Combine like terms: -5n + 3n = -2n 8 + -2n = 41 + -65 Combine like terms: 41 + -65 = -24 8 + -2n = -24 Solving 8 + -2n = -24 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2n = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -2n = -24 + -8 -2n = -24 + -8 Combine like terms: -24 + -8 = -32 -2n = -32 Divide each side by '-2'. n = 16 Simplifying n = 16
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