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Simplifying 2n + -1(4n + -3) = 6n + -4 + -1n Reorder the terms: 2n + -1(-3 + 4n) = 6n + -4 + -1n 2n + (-3 * -1 + 4n * -1) = 6n + -4 + -1n 2n + (3 + -4n) = 6n + -4 + -1n Reorder the terms: 3 + 2n + -4n = 6n + -4 + -1n Combine like terms: 2n + -4n = -2n 3 + -2n = 6n + -4 + -1n Reorder the terms: 3 + -2n = -4 + 6n + -1n Combine like terms: 6n + -1n = 5n 3 + -2n = -4 + 5n Solving 3 + -2n = -4 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 3 + -2n + -5n = -4 + 5n + -5n Combine like terms: -2n + -5n = -7n 3 + -7n = -4 + 5n + -5n Combine like terms: 5n + -5n = 0 3 + -7n = -4 + 0 3 + -7n = -4 Add '-3' to each side of the equation. 3 + -3 + -7n = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -7n = -4 + -3 -7n = -4 + -3 Combine like terms: -4 + -3 = -7 -7n = -7 Divide each side by '-7'. n = 1 Simplifying n = 1
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