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Simplifying -8(4n + -3) = 4 + 3(3 + -7n) Reorder the terms: -8(-3 + 4n) = 4 + 3(3 + -7n) (-3 * -8 + 4n * -8) = 4 + 3(3 + -7n) (24 + -32n) = 4 + 3(3 + -7n) 24 + -32n = 4 + (3 * 3 + -7n * 3) 24 + -32n = 4 + (9 + -21n) Combine like terms: 4 + 9 = 13 24 + -32n = 13 + -21n Solving 24 + -32n = 13 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. 24 + -32n + 21n = 13 + -21n + 21n Combine like terms: -32n + 21n = -11n 24 + -11n = 13 + -21n + 21n Combine like terms: -21n + 21n = 0 24 + -11n = 13 + 0 24 + -11n = 13 Add '-24' to each side of the equation. 24 + -24 + -11n = 13 + -24 Combine like terms: 24 + -24 = 0 0 + -11n = 13 + -24 -11n = 13 + -24 Combine like terms: 13 + -24 = -11 -11n = -11 Divide each side by '-11'. n = 1 Simplifying n = 1
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