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Simplifying 43 + 10n = 3(8n + -9) Reorder the terms: 43 + 10n = 3(-9 + 8n) 43 + 10n = (-9 * 3 + 8n * 3) 43 + 10n = (-27 + 24n) Solving 43 + 10n = -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. 43 + 10n + -24n = -27 + 24n + -24n Combine like terms: 10n + -24n = -14n 43 + -14n = -27 + 24n + -24n Combine like terms: 24n + -24n = 0 43 + -14n = -27 + 0 43 + -14n = -27 Add '-43' to each side of the equation. 43 + -43 + -14n = -27 + -43 Combine like terms: 43 + -43 = 0 0 + -14n = -27 + -43 -14n = -27 + -43 Combine like terms: -27 + -43 = -70 -14n = -70 Divide each side by '-14'. n = 5 Simplifying n = 5
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