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Simplifying 0.333(6m + -8) = 0.66(5m + -2) + 9 Reorder the terms: 0.333(-8 + 6m) = 0.66(5m + -2) + 9 (-8 * 0.333 + 6m * 0.333) = 0.66(5m + -2) + 9 (-2.664 + 1.998m) = 0.66(5m + -2) + 9 Reorder the terms: -2.664 + 1.998m = 0.66(-2 + 5m) + 9 -2.664 + 1.998m = (-2 * 0.66 + 5m * 0.66) + 9 -2.664 + 1.998m = (-1.32 + 3.3m) + 9 Reorder the terms: -2.664 + 1.998m = -1.32 + 9 + 3.3m Combine like terms: -1.32 + 9 = 7.68 -2.664 + 1.998m = 7.68 + 3.3m Solving -2.664 + 1.998m = 7.68 + 3.3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3.3m' to each side of the equation. -2.664 + 1.998m + -3.3m = 7.68 + 3.3m + -3.3m Combine like terms: 1.998m + -3.3m = -1.302m -2.664 + -1.302m = 7.68 + 3.3m + -3.3m Combine like terms: 3.3m + -3.3m = 0.0 -2.664 + -1.302m = 7.68 + 0.0 -2.664 + -1.302m = 7.68 Add '2.664' to each side of the equation. -2.664 + 2.664 + -1.302m = 7.68 + 2.664 Combine like terms: -2.664 + 2.664 = 0.000 0.000 + -1.302m = 7.68 + 2.664 -1.302m = 7.68 + 2.664 Combine like terms: 7.68 + 2.664 = 10.344 -1.302m = 10.344 Divide each side by '-1.302'. m = -7.944700461 Simplifying m = -7.944700461
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