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Simplifying 0.111(2m + -161) = 0.333(2m + 4) Reorder the terms: 0.111(-161 + 2m) = 0.333(2m + 4) (-161 * 0.111 + 2m * 0.111) = 0.333(2m + 4) (-17.871 + 0.222m) = 0.333(2m + 4) Reorder the terms: -17.871 + 0.222m = 0.333(4 + 2m) -17.871 + 0.222m = (4 * 0.333 + 2m * 0.333) -17.871 + 0.222m = (1.332 + 0.666m) Solving -17.871 + 0.222m = 1.332 + 0.666m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.666m' to each side of the equation. -17.871 + 0.222m + -0.666m = 1.332 + 0.666m + -0.666m Combine like terms: 0.222m + -0.666m = -0.444m -17.871 + -0.444m = 1.332 + 0.666m + -0.666m Combine like terms: 0.666m + -0.666m = 0.000 -17.871 + -0.444m = 1.332 + 0.000 -17.871 + -0.444m = 1.332 Add '17.871' to each side of the equation. -17.871 + 17.871 + -0.444m = 1.332 + 17.871 Combine like terms: -17.871 + 17.871 = 0.000 0.000 + -0.444m = 1.332 + 17.871 -0.444m = 1.332 + 17.871 Combine like terms: 1.332 + 17.871 = 19.203 -0.444m = 19.203 Divide each side by '-0.444'. m = -43.25 Simplifying m = -43.25
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