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Simplifying -0.2(3m + 5n + -2p) = 0 (3m * -0.2 + 5n * -0.2 + -2p * -0.2) = 0 (-0.6m + -1n + 0.4p) = 0 Solving -0.6m + -1n + 0.4p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. -0.6m + -1n + n + 0.4p = 0 + n Combine like terms: -1n + n = 0 -0.6m + 0 + 0.4p = 0 + n -0.6m + 0.4p = 0 + n Remove the zero: -0.6m + 0.4p = n Add '-0.4p' to each side of the equation. -0.6m + 0.4p + -0.4p = n + -0.4p Combine like terms: 0.4p + -0.4p = 0.0 -0.6m + 0.0 = n + -0.4p -0.6m = n + -0.4p Divide each side by '-0.6'. m = -1.666666667n + 0.6666666667p Simplifying m = -1.666666667n + 0.6666666667p
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