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Simplifying 3n + 32 = 4n + 1 Reorder the terms: 32 + 3n = 4n + 1 Reorder the terms: 32 + 3n = 1 + 4n Solving 32 + 3n = 1 + 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. 32 + 3n + -4n = 1 + 4n + -4n Combine like terms: 3n + -4n = -1n 32 + -1n = 1 + 4n + -4n Combine like terms: 4n + -4n = 0 32 + -1n = 1 + 0 32 + -1n = 1 Add '-32' to each side of the equation. 32 + -32 + -1n = 1 + -32 Combine like terms: 32 + -32 = 0 0 + -1n = 1 + -32 -1n = 1 + -32 Combine like terms: 1 + -32 = -31 -1n = -31 Divide each side by '-1'. n = 31 Simplifying n = 31
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