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Simplifying -8 + -0.4m = 0.5(m + -7) Reorder the terms: -8 + -0.4m = 0.5(-7 + m) -8 + -0.4m = (-7 * 0.5 + m * 0.5) -8 + -0.4m = (-3.5 + 0.5m) Solving -8 + -0.4m = -3.5 + 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. -8 + -0.4m + -0.5m = -3.5 + 0.5m + -0.5m Combine like terms: -0.4m + -0.5m = -0.9m -8 + -0.9m = -3.5 + 0.5m + -0.5m Combine like terms: 0.5m + -0.5m = 0.0 -8 + -0.9m = -3.5 + 0.0 -8 + -0.9m = -3.5 Add '8' to each side of the equation. -8 + 8 + -0.9m = -3.5 + 8 Combine like terms: -8 + 8 = 0 0 + -0.9m = -3.5 + 8 -0.9m = -3.5 + 8 Combine like terms: -3.5 + 8 = 4.5 -0.9m = 4.5 Divide each side by '-0.9'. m = -5 Simplifying m = -5
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