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Simplifying 4(2 + -1n) = 3n + 1 (2 * 4 + -1n * 4) = 3n + 1 (8 + -4n) = 3n + 1 Reorder the terms: 8 + -4n = 1 + 3n Solving 8 + -4n = 1 + 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. 8 + -4n + -3n = 1 + 3n + -3n Combine like terms: -4n + -3n = -7n 8 + -7n = 1 + 3n + -3n Combine like terms: 3n + -3n = 0 8 + -7n = 1 + 0 8 + -7n = 1 Add '-8' to each side of the equation. 8 + -8 + -7n = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -7n = 1 + -8 -7n = 1 + -8 Combine like terms: 1 + -8 = -7 -7n = -7 Divide each side by '-7'. n = 1 Simplifying n = 1
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