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