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Simplifying 43 + 10m = 3(8n + -9) Reorder the terms: 43 + 10m = 3(-9 + 8n) 43 + 10m = (-9 * 3 + 8n * 3) 43 + 10m = (-27 + 24n) Solving 43 + 10m = -27 + 24n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 10m = -27 + -43 + 24n Combine like terms: 43 + -43 = 0 0 + 10m = -27 + -43 + 24n 10m = -27 + -43 + 24n Combine like terms: -27 + -43 = -70 10m = -70 + 24n Divide each side by '10'. m = -7 + 2.4n Simplifying m = -7 + 2.4n
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