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Simplifying 7 + -1(2n + -7) = 6 + -3n Reorder the terms: 7 + -1(-7 + 2n) = 6 + -3n 7 + (-7 * -1 + 2n * -1) = 6 + -3n 7 + (7 + -2n) = 6 + -3n Combine like terms: 7 + 7 = 14 14 + -2n = 6 + -3n Solving 14 + -2n = 6 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 14 + -2n + 3n = 6 + -3n + 3n Combine like terms: -2n + 3n = 1n 14 + 1n = 6 + -3n + 3n Combine like terms: -3n + 3n = 0 14 + 1n = 6 + 0 14 + 1n = 6 Add '-14' to each side of the equation. 14 + -14 + 1n = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 1n = 6 + -14 1n = 6 + -14 Combine like terms: 6 + -14 = -8 1n = -8 Divide each side by '1'. n = -8 Simplifying n = -8
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