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Simplifying 89 + -8n = -8(3 + 4n) + 3n 89 + -8n = (3 * -8 + 4n * -8) + 3n 89 + -8n = (-24 + -32n) + 3n Combine like terms: -32n + 3n = -29n 89 + -8n = -24 + -29n Solving 89 + -8n = -24 + -29n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '29n' to each side of the equation. 89 + -8n + 29n = -24 + -29n + 29n Combine like terms: -8n + 29n = 21n 89 + 21n = -24 + -29n + 29n Combine like terms: -29n + 29n = 0 89 + 21n = -24 + 0 89 + 21n = -24 Add '-89' to each side of the equation. 89 + -89 + 21n = -24 + -89 Combine like terms: 89 + -89 = 0 0 + 21n = -24 + -89 21n = -24 + -89 Combine like terms: -24 + -89 = -113 21n = -113 Divide each side by '21'. n = -5.380952381 Simplifying n = -5.380952381
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