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