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Simplifying 0.25(8m + -3) = 0.56(3m + -4) + 9 Reorder the terms: 0.25(-3 + 8m) = 0.56(3m + -4) + 9 (-3 * 0.25 + 8m * 0.25) = 0.56(3m + -4) + 9 (-0.75 + 2m) = 0.56(3m + -4) + 9 Reorder the terms: -0.75 + 2m = 0.56(-4 + 3m) + 9 -0.75 + 2m = (-4 * 0.56 + 3m * 0.56) + 9 -0.75 + 2m = (-2.24 + 1.68m) + 9 Reorder the terms: -0.75 + 2m = -2.24 + 9 + 1.68m Combine like terms: -2.24 + 9 = 6.76 -0.75 + 2m = 6.76 + 1.68m Solving -0.75 + 2m = 6.76 + 1.68m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1.68m' to each side of the equation. -0.75 + 2m + -1.68m = 6.76 + 1.68m + -1.68m Combine like terms: 2m + -1.68m = 0.32m -0.75 + 0.32m = 6.76 + 1.68m + -1.68m Combine like terms: 1.68m + -1.68m = 0.00 -0.75 + 0.32m = 6.76 + 0.00 -0.75 + 0.32m = 6.76 Add '0.75' to each side of the equation. -0.75 + 0.75 + 0.32m = 6.76 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + 0.32m = 6.76 + 0.75 0.32m = 6.76 + 0.75 Combine like terms: 6.76 + 0.75 = 7.51 0.32m = 7.51 Divide each side by '0.32'. m = 23.46875 Simplifying m = 23.46875
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