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Simplifying 7(7 + 5m) + (m + 6) * 4 = 0 (7 * 7 + 5m * 7) + (m + 6) * 4 = 0 (49 + 35m) + (m + 6) * 4 = 0 Reorder the terms: 49 + 35m + (6 + m) * 4 = 0 Reorder the terms for easier multiplication: 49 + 35m + 4(6 + m) = 0 49 + 35m + (6 * 4 + m * 4) = 0 49 + 35m + (24 + 4m) = 0 Reorder the terms: 49 + 24 + 35m + 4m = 0 Combine like terms: 49 + 24 = 73 73 + 35m + 4m = 0 Combine like terms: 35m + 4m = 39m 73 + 39m = 0 Solving 73 + 39m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-73' to each side of the equation. 73 + -73 + 39m = 0 + -73 Combine like terms: 73 + -73 = 0 0 + 39m = 0 + -73 39m = 0 + -73 Combine like terms: 0 + -73 = -73 39m = -73 Divide each side by '39'. m = -1.871794872 Simplifying m = -1.871794872
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