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Simplifying 21 + -3n = -8(1 + 4n) 21 + -3n = (1 * -8 + 4n * -8) 21 + -3n = (-8 + -32n) Solving 21 + -3n = -8 + -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 + -3n + 32n = -8 + -32n + 32n Combine like terms: -3n + 32n = 29n 21 + 29n = -8 + -32n + 32n Combine like terms: -32n + 32n = 0 21 + 29n = -8 + 0 21 + 29n = -8 Add '-21' to each side of the equation. 21 + -21 + 29n = -8 + -21 Combine like terms: 21 + -21 = 0 0 + 29n = -8 + -21 29n = -8 + -21 Combine like terms: -8 + -21 = -29 29n = -29 Divide each side by '29'. n = -1 Simplifying n = -1
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