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Simplifying 0.2m + -0.5 = 1m + 7 Reorder the terms: -0.5 + 0.2m = 1m + 7 Reorder the terms: -0.5 + 0.2m = 7 + 1m Solving -0.5 + 0.2m = 7 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -0.5 + 0.2m + -1m = 7 + 1m + -1m Combine like terms: 0.2m + -1m = -0.8m -0.5 + -0.8m = 7 + 1m + -1m Combine like terms: 1m + -1m = 0 -0.5 + -0.8m = 7 + 0 -0.5 + -0.8m = 7 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.8m = 7 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.8m = 7 + 0.5 -0.8m = 7 + 0.5 Combine like terms: 7 + 0.5 = 7.5 -0.8m = 7.5 Divide each side by '-0.8'. m = -9.375 Simplifying m = -9.375
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