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Simplifying 6 + -1(3n + -7) = 1 + -4n Reorder the terms: 6 + -1(-7 + 3n) = 1 + -4n 6 + (-7 * -1 + 3n * -1) = 1 + -4n 6 + (7 + -3n) = 1 + -4n Combine like terms: 6 + 7 = 13 13 + -3n = 1 + -4n Solving 13 + -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. 13 + -3n + 4n = 1 + -4n + 4n Combine like terms: -3n + 4n = 1n 13 + 1n = 1 + -4n + 4n Combine like terms: -4n + 4n = 0 13 + 1n = 1 + 0 13 + 1n = 1 Add '-13' to each side of the equation. 13 + -13 + 1n = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 1n = 1 + -13 1n = 1 + -13 Combine like terms: 1 + -13 = -12 1n = -12 Divide each side by '1'. n = -12 Simplifying n = -12
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