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Simplifying -7(3n + 8) = 3n + -32 Reorder the terms: -7(8 + 3n) = 3n + -32 (8 * -7 + 3n * -7) = 3n + -32 (-56 + -21n) = 3n + -32 Reorder the terms: -56 + -21n = -32 + 3n Solving -56 + -21n = -32 + 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. -56 + -21n + -3n = -32 + 3n + -3n Combine like terms: -21n + -3n = -24n -56 + -24n = -32 + 3n + -3n Combine like terms: 3n + -3n = 0 -56 + -24n = -32 + 0 -56 + -24n = -32 Add '56' to each side of the equation. -56 + 56 + -24n = -32 + 56 Combine like terms: -56 + 56 = 0 0 + -24n = -32 + 56 -24n = -32 + 56 Combine like terms: -32 + 56 = 24 -24n = 24 Divide each side by '-24'. n = -1 Simplifying n = -1
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