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Simplifying 9(6m + -3) + 6(1 + 4m) + 20 = 0 Reorder the terms: 9(-3 + 6m) + 6(1 + 4m) + 20 = 0 (-3 * 9 + 6m * 9) + 6(1 + 4m) + 20 = 0 (-27 + 54m) + 6(1 + 4m) + 20 = 0 -27 + 54m + (1 * 6 + 4m * 6) + 20 = 0 -27 + 54m + (6 + 24m) + 20 = 0 Reorder the terms: -27 + 6 + 20 + 54m + 24m = 0 Combine like terms: -27 + 6 = -21 -21 + 20 + 54m + 24m = 0 Combine like terms: -21 + 20 = -1 -1 + 54m + 24m = 0 Combine like terms: 54m + 24m = 78m -1 + 78m = 0 Solving -1 + 78m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 78m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 78m = 0 + 1 78m = 0 + 1 Combine like terms: 0 + 1 = 1 78m = 1 Divide each side by '78'. m = 0.01282051282 Simplifying m = 0.01282051282
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