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Simplifying 32 + -1n = (3n + -8) Reorder the terms: 32 + -1n = (-8 + 3n) Remove parenthesis around (-8 + 3n) 32 + -1n = -8 + 3n Solving 32 + -1n = -8 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 32 + -1n + -3n = -8 + 3n + -3n Combine like terms: -1n + -3n = -4n 32 + -4n = -8 + 3n + -3n Combine like terms: 3n + -3n = 0 32 + -4n = -8 + 0 32 + -4n = -8 Add '-32' to each side of the equation. 32 + -32 + -4n = -8 + -32 Combine like terms: 32 + -32 = 0 0 + -4n = -8 + -32 -4n = -8 + -32 Combine like terms: -8 + -32 = -40 -4n = -40 Divide each side by '-4'. n = 10 Simplifying n = 10
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