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Simplifying 6 + -1(4n + -1) = 2 + -5n Reorder the terms: 6 + -1(-1 + 4n) = 2 + -5n 6 + (-1 * -1 + 4n * -1) = 2 + -5n 6 + (1 + -4n) = 2 + -5n Combine like terms: 6 + 1 = 7 7 + -4n = 2 + -5n Solving 7 + -4n = 2 + -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. 7 + -4n + 5n = 2 + -5n + 5n Combine like terms: -4n + 5n = 1n 7 + 1n = 2 + -5n + 5n Combine like terms: -5n + 5n = 0 7 + 1n = 2 + 0 7 + 1n = 2 Add '-7' to each side of the equation. 7 + -7 + 1n = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 1n = 2 + -7 1n = 2 + -7 Combine like terms: 2 + -7 = -5 1n = -5 Divide each side by '1'. n = -5 Simplifying n = -5
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