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Simplifying m + -8 + -2 = 0.5(m + -0.5) Reorder the terms: -8 + -2 + m = 0.5(m + -0.5) Combine like terms: -8 + -2 = -10 -10 + m = 0.5(m + -0.5) Reorder the terms: -10 + m = 0.5(-0.5 + m) -10 + m = (-0.5 * 0.5 + m * 0.5) -10 + m = (-0.25 + 0.5m) Solving -10 + m = -0.25 + 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. -10 + m + -0.5m = -0.25 + 0.5m + -0.5m Combine like terms: m + -0.5m = 0.5m -10 + 0.5m = -0.25 + 0.5m + -0.5m Combine like terms: 0.5m + -0.5m = 0.0 -10 + 0.5m = -0.25 + 0.0 -10 + 0.5m = -0.25 Add '10' to each side of the equation. -10 + 10 + 0.5m = -0.25 + 10 Combine like terms: -10 + 10 = 0 0 + 0.5m = -0.25 + 10 0.5m = -0.25 + 10 Combine like terms: -0.25 + 10 = 9.75 0.5m = 9.75 Divide each side by '0.5'. m = 19.5 Simplifying m = 19.5
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