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Simplifying 6 + -1(3n + -1) = 1 + -4n Reorder the terms: 6 + -1(-1 + 3n) = 1 + -4n 6 + (-1 * -1 + 3n * -1) = 1 + -4n 6 + (1 + -3n) = 1 + -4n Combine like terms: 6 + 1 = 7 7 + -3n = 1 + -4n Solving 7 + -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. 7 + -3n + 4n = 1 + -4n + 4n Combine like terms: -3n + 4n = 1n 7 + 1n = 1 + -4n + 4n Combine like terms: -4n + 4n = 0 7 + 1n = 1 + 0 7 + 1n = 1 Add '-7' to each side of the equation. 7 + -7 + 1n = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 1n = 1 + -7 1n = 1 + -7 Combine like terms: 1 + -7 = -6 1n = -6 Divide each side by '1'. n = -6 Simplifying n = -6
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