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Simplifying 0.25(8m + -3) = 0.58(3m + -4) + 9 Reorder the terms: 0.25(-3 + 8m) = 0.58(3m + -4) + 9 (-3 * 0.25 + 8m * 0.25) = 0.58(3m + -4) + 9 (-0.75 + 2m) = 0.58(3m + -4) + 9 Reorder the terms: -0.75 + 2m = 0.58(-4 + 3m) + 9 -0.75 + 2m = (-4 * 0.58 + 3m * 0.58) + 9 -0.75 + 2m = (-2.32 + 1.74m) + 9 Reorder the terms: -0.75 + 2m = -2.32 + 9 + 1.74m Combine like terms: -2.32 + 9 = 6.68 -0.75 + 2m = 6.68 + 1.74m Solving -0.75 + 2m = 6.68 + 1.74m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1.74m' to each side of the equation. -0.75 + 2m + -1.74m = 6.68 + 1.74m + -1.74m Combine like terms: 2m + -1.74m = 0.26m -0.75 + 0.26m = 6.68 + 1.74m + -1.74m Combine like terms: 1.74m + -1.74m = 0.00 -0.75 + 0.26m = 6.68 + 0.00 -0.75 + 0.26m = 6.68 Add '0.75' to each side of the equation. -0.75 + 0.75 + 0.26m = 6.68 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + 0.26m = 6.68 + 0.75 0.26m = 6.68 + 0.75 Combine like terms: 6.68 + 0.75 = 7.43 0.26m = 7.43 Divide each side by '0.26'. m = 28.57692308 Simplifying m = 28.57692308
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