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Simplifying 10(3m + 4) + 5m = 0 Reorder the terms: 10(4 + 3m) + 5m = 0 (4 * 10 + 3m * 10) + 5m = 0 (40 + 30m) + 5m = 0 Combine like terms: 30m + 5m = 35m 40 + 35m = 0 Solving 40 + 35m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 35m = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 35m = 0 + -40 35m = 0 + -40 Combine like terms: 0 + -40 = -40 35m = -40 Divide each side by '35'. m = -1.142857143 Simplifying m = -1.142857143
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