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Simplifying -3n + -7(3n + -1) = 3n + -20 Reorder the terms: -3n + -7(-1 + 3n) = 3n + -20 -3n + (-1 * -7 + 3n * -7) = 3n + -20 -3n + (7 + -21n) = 3n + -20 Reorder the terms: 7 + -3n + -21n = 3n + -20 Combine like terms: -3n + -21n = -24n 7 + -24n = 3n + -20 Reorder the terms: 7 + -24n = -20 + 3n Solving 7 + -24n = -20 + 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. 7 + -24n + -3n = -20 + 3n + -3n Combine like terms: -24n + -3n = -27n 7 + -27n = -20 + 3n + -3n Combine like terms: 3n + -3n = 0 7 + -27n = -20 + 0 7 + -27n = -20 Add '-7' to each side of the equation. 7 + -7 + -27n = -20 + -7 Combine like terms: 7 + -7 = 0 0 + -27n = -20 + -7 -27n = -20 + -7 Combine like terms: -20 + -7 = -27 -27n = -27 Divide each side by '-27'. n = 1 Simplifying n = 1
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