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Simplifying 21 = -8(4n + 9) Reorder the terms: 21 = -8(9 + 4n) 21 = (9 * -8 + 4n * -8) 21 = (-72 + -32n) Solving 21 = -72 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. 21 + 32n = -72 + -32n + 32n Combine like terms: -32n + 32n = 0 21 + 32n = -72 + 0 21 + 32n = -72 Add '-21' to each side of the equation. 21 + -21 + 32n = -72 + -21 Combine like terms: 21 + -21 = 0 0 + 32n = -72 + -21 32n = -72 + -21 Combine like terms: -72 + -21 = -93 32n = -93 Divide each side by '32'. n = -2.90625 Simplifying n = -2.90625
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