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Simplifying 0.5(m + -4) = 3(m + -1) Reorder the terms: 0.5(-4 + m) = 3(m + -1) (-4 * 0.5 + m * 0.5) = 3(m + -1) (-2 + 0.5m) = 3(m + -1) Reorder the terms: -2 + 0.5m = 3(-1 + m) -2 + 0.5m = (-1 * 3 + m * 3) -2 + 0.5m = (-3 + 3m) Solving -2 + 0.5m = -3 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -2 + 0.5m + -3m = -3 + 3m + -3m Combine like terms: 0.5m + -3m = -2.5m -2 + -2.5m = -3 + 3m + -3m Combine like terms: 3m + -3m = 0 -2 + -2.5m = -3 + 0 -2 + -2.5m = -3 Add '2' to each side of the equation. -2 + 2 + -2.5m = -3 + 2 Combine like terms: -2 + 2 = 0 0 + -2.5m = -3 + 2 -2.5m = -3 + 2 Combine like terms: -3 + 2 = -1 -2.5m = -1 Divide each side by '-2.5'. m = 0.4 Simplifying m = 0.4
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