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Simplifying 0.2(m + -6) = 0.3m + 5 + -3 + 0.1m Reorder the terms: 0.2(-6 + m) = 0.3m + 5 + -3 + 0.1m (-6 * 0.2 + m * 0.2) = 0.3m + 5 + -3 + 0.1m (-1.2 + 0.2m) = 0.3m + 5 + -3 + 0.1m Reorder the terms: -1.2 + 0.2m = 5 + -3 + 0.3m + 0.1m Combine like terms: 5 + -3 = 2 -1.2 + 0.2m = 2 + 0.3m + 0.1m Combine like terms: 0.3m + 0.1m = 0.4m -1.2 + 0.2m = 2 + 0.4m Solving -1.2 + 0.2m = 2 + 0.4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.4m' to each side of the equation. -1.2 + 0.2m + -0.4m = 2 + 0.4m + -0.4m Combine like terms: 0.2m + -0.4m = -0.2m -1.2 + -0.2m = 2 + 0.4m + -0.4m Combine like terms: 0.4m + -0.4m = 0.0 -1.2 + -0.2m = 2 + 0.0 -1.2 + -0.2m = 2 Add '1.2' to each side of the equation. -1.2 + 1.2 + -0.2m = 2 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -0.2m = 2 + 1.2 -0.2m = 2 + 1.2 Combine like terms: 2 + 1.2 = 3.2 -0.2m = 3.2 Divide each side by '-0.2'. m = -16 Simplifying m = -16
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