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Simplifying 0.5(m + 4) = 2(m + -1) Reorder the terms: 0.5(4 + m) = 2(m + -1) (4 * 0.5 + m * 0.5) = 2(m + -1) (2 + 0.5m) = 2(m + -1) Reorder the terms: 2 + 0.5m = 2(-1 + m) 2 + 0.5m = (-1 * 2 + m * 2) 2 + 0.5m = (-2 + 2m) Solving 2 + 0.5m = -2 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 2 + 0.5m + -2m = -2 + 2m + -2m Combine like terms: 0.5m + -2m = -1.5m 2 + -1.5m = -2 + 2m + -2m Combine like terms: 2m + -2m = 0 2 + -1.5m = -2 + 0 2 + -1.5m = -2 Add '-2' to each side of the equation. 2 + -2 + -1.5m = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -1.5m = -2 + -2 -1.5m = -2 + -2 Combine like terms: -2 + -2 = -4 -1.5m = -4 Divide each side by '-1.5'. m = 2.666666667 Simplifying m = 2.666666667
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