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Simplifying 0.8(m + -1) + -0.2m = 1 Reorder the terms: 0.8(-1 + m) + -0.2m = 1 (-1 * 0.8 + m * 0.8) + -0.2m = 1 (-0.8 + 0.8m) + -0.2m = 1 Combine like terms: 0.8m + -0.2m = 0.6m -0.8 + 0.6m = 1 Solving -0.8 + 0.6m = 1 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.6m = 1 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.6m = 1 + 0.8 0.6m = 1 + 0.8 Combine like terms: 1 + 0.8 = 1.8 0.6m = 1.8 Divide each side by '0.6'. m = 3 Simplifying m = 3
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