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Simplifying 0.40(m + -3) = 2 + 0.375m Reorder the terms: 0.40(-3 + m) = 2 + 0.375m (-3 * 0.40 + m * 0.40) = 2 + 0.375m (-1.2 + 0.40m) = 2 + 0.375m Solving -1.2 + 0.40m = 2 + 0.375m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.375m' to each side of the equation. -1.2 + 0.40m + -0.375m = 2 + 0.375m + -0.375m Combine like terms: 0.40m + -0.375m = 0.025m -1.2 + 0.025m = 2 + 0.375m + -0.375m Combine like terms: 0.375m + -0.375m = 0.000 -1.2 + 0.025m = 2 + 0.000 -1.2 + 0.025m = 2 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.025m = 2 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.025m = 2 + 1.2 0.025m = 2 + 1.2 Combine like terms: 2 + 1.2 = 3.2 0.025m = 3.2 Divide each side by '0.025'. m = 128 Simplifying m = 128
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