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Simplifying -0.2m + 13 = 0.2m + -6 Reorder the terms: 13 + -0.2m = 0.2m + -6 Reorder the terms: 13 + -0.2m = -6 + 0.2m Solving 13 + -0.2m = -6 + 0.2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.2m' to each side of the equation. 13 + -0.2m + -0.2m = -6 + 0.2m + -0.2m Combine like terms: -0.2m + -0.2m = -0.4m 13 + -0.4m = -6 + 0.2m + -0.2m Combine like terms: 0.2m + -0.2m = 0.0 13 + -0.4m = -6 + 0.0 13 + -0.4m = -6 Add '-13' to each side of the equation. 13 + -13 + -0.4m = -6 + -13 Combine like terms: 13 + -13 = 0 0 + -0.4m = -6 + -13 -0.4m = -6 + -13 Combine like terms: -6 + -13 = -19 -0.4m = -19 Divide each side by '-0.4'. m = 47.5 Simplifying m = 47.5
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