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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 = 35n 89 + -8n = -24 + 35n Solving 89 + -8n = -24 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 89 + -8n + -35n = -24 + 35n + -35n Combine like terms: -8n + -35n = -43n 89 + -43n = -24 + 35n + -35n Combine like terms: 35n + -35n = 0 89 + -43n = -24 + 0 89 + -43n = -24 Add '-89' to each side of the equation. 89 + -89 + -43n = -24 + -89 Combine like terms: 89 + -89 = 0 0 + -43n = -24 + -89 -43n = -24 + -89 Combine like terms: -24 + -89 = -113 -43n = -113 Divide each side by '-43'. n = 2.627906977 Simplifying n = 2.627906977
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