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Simplifying 43 + 10 = 3(8n + -9) Combine like terms: 43 + 10 = 53 53 = 3(8n + -9) Reorder the terms: 53 = 3(-9 + 8n) 53 = (-9 * 3 + 8n * 3) 53 = (-27 + 24n) Solving 53 = -27 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 53 + -24n = -27 + 24n + -24n Combine like terms: 24n + -24n = 0 53 + -24n = -27 + 0 53 + -24n = -27 Add '-53' to each side of the equation. 53 + -53 + -24n = -27 + -53 Combine like terms: 53 + -53 = 0 0 + -24n = -27 + -53 -24n = -27 + -53 Combine like terms: -27 + -53 = -80 -24n = -80 Divide each side by '-24'. n = 3.333333333 Simplifying n = 3.333333333
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