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Simplifying 9(1m + -3) + 3m = 7m + 43 Reorder the terms: 9(-3 + 1m) + 3m = 7m + 43 (-3 * 9 + 1m * 9) + 3m = 7m + 43 (-27 + 9m) + 3m = 7m + 43 Combine like terms: 9m + 3m = 12m -27 + 12m = 7m + 43 Reorder the terms: -27 + 12m = 43 + 7m Solving -27 + 12m = 43 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -27 + 12m + -7m = 43 + 7m + -7m Combine like terms: 12m + -7m = 5m -27 + 5m = 43 + 7m + -7m Combine like terms: 7m + -7m = 0 -27 + 5m = 43 + 0 -27 + 5m = 43 Add '27' to each side of the equation. -27 + 27 + 5m = 43 + 27 Combine like terms: -27 + 27 = 0 0 + 5m = 43 + 27 5m = 43 + 27 Combine like terms: 43 + 27 = 70 5m = 70 Divide each side by '5'. m = 14 Simplifying m = 14
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