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Simplifying 2.5(m + -0.4) + -0.5m = 2 + -0.5(m + 4) Reorder the terms: 2.5(-0.4 + m) + -0.5m = 2 + -0.5(m + 4) (-0.4 * 2.5 + m * 2.5) + -0.5m = 2 + -0.5(m + 4) (-1 + 2.5m) + -0.5m = 2 + -0.5(m + 4) Combine like terms: 2.5m + -0.5m = 2m -1 + 2m = 2 + -0.5(m + 4) Reorder the terms: -1 + 2m = 2 + -0.5(4 + m) -1 + 2m = 2 + (4 * -0.5 + m * -0.5) -1 + 2m = 2 + (-2 + -0.5m) Combine like terms: 2 + -2 = 0 -1 + 2m = 0 + -0.5m -1 + 2m = -0.5m Solving -1 + 2m = -0.5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.5m' to each side of the equation. -1 + 2m + 0.5m = -0.5m + 0.5m Combine like terms: 2m + 0.5m = 2.5m -1 + 2.5m = -0.5m + 0.5m Combine like terms: -0.5m + 0.5m = 0.0 -1 + 2.5m = 0.0 Add '1' to each side of the equation. -1 + 1 + 2.5m = 0.0 + 1 Combine like terms: -1 + 1 = 0 0 + 2.5m = 0.0 + 1 2.5m = 0.0 + 1 Combine like terms: 0.0 + 1 = 1 2.5m = 1 Divide each side by '2.5'. m = 0.4 Simplifying m = 0.4
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