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Simplifying (2m + 1) * 9 + 5(5m + 6) * 4 = 0 Reorder the terms: (1 + 2m) * 9 + 5(5m + 6) * 4 = 0 Reorder the terms for easier multiplication: 9(1 + 2m) + 5(5m + 6) * 4 = 0 (1 * 9 + 2m * 9) + 5(5m + 6) * 4 = 0 (9 + 18m) + 5(5m + 6) * 4 = 0 Reorder the terms: 9 + 18m + 5(6 + 5m) * 4 = 0 Reorder the terms for easier multiplication: 9 + 18m + 5 * 4(6 + 5m) = 0 Multiply 5 * 4 9 + 18m + 20(6 + 5m) = 0 9 + 18m + (6 * 20 + 5m * 20) = 0 9 + 18m + (120 + 100m) = 0 Reorder the terms: 9 + 120 + 18m + 100m = 0 Combine like terms: 9 + 120 = 129 129 + 18m + 100m = 0 Combine like terms: 18m + 100m = 118m 129 + 118m = 0 Solving 129 + 118m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-129' to each side of the equation. 129 + -129 + 118m = 0 + -129 Combine like terms: 129 + -129 = 0 0 + 118m = 0 + -129 118m = 0 + -129 Combine like terms: 0 + -129 = -129 118m = -129 Divide each side by '118'. m = -1.093220339 Simplifying m = -1.093220339
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