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Simplifying 5(m + 9) + -7 + 7m = 0 Reorder the terms: 5(9 + m) + -7 + 7m = 0 (9 * 5 + m * 5) + -7 + 7m = 0 (45 + 5m) + -7 + 7m = 0 Reorder the terms: 45 + -7 + 5m + 7m = 0 Combine like terms: 45 + -7 = 38 38 + 5m + 7m = 0 Combine like terms: 5m + 7m = 12m 38 + 12m = 0 Solving 38 + 12m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 12m = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 12m = 0 + -38 12m = 0 + -38 Combine like terms: 0 + -38 = -38 12m = -38 Divide each side by '12'. m = -3.166666667 Simplifying m = -3.166666667
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