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Simplifying 3m + -2n = 0.4(8m + 3n) 3m + -2n = (8m * 0.4 + 3n * 0.4) 3m + -2n = (3.2m + 1.2n) Solving 3m + -2n = 3.2m + 1.2n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3.2m' to each side of the equation. 3m + -3.2m + -2n = 3.2m + -3.2m + 1.2n Combine like terms: 3m + -3.2m = -0.2m -0.2m + -2n = 3.2m + -3.2m + 1.2n Combine like terms: 3.2m + -3.2m = 0.0 -0.2m + -2n = 0.0 + 1.2n -0.2m + -2n = 1.2n Add '2n' to each side of the equation. -0.2m + -2n + 2n = 1.2n + 2n Combine like terms: -2n + 2n = 0 -0.2m + 0 = 1.2n + 2n -0.2m = 1.2n + 2n Combine like terms: 1.2n + 2n = 3.2n -0.2m = 3.2n Divide each side by '-0.2'. m = -16n Simplifying m = -16n
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