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Simplifying 4m + 3d + -1(5m + d) = 0 Reorder the terms: 4m + 3d + -1(d + 5m) = 0 4m + 3d + (d * -1 + 5m * -1) = 0 4m + 3d + (-1d + -5m) = 0 Reorder the terms: 3d + -1d + 4m + -5m = 0 Combine like terms: 3d + -1d = 2d 2d + 4m + -5m = 0 Combine like terms: 4m + -5m = -1m 2d + -1m = 0 Solving 2d + -1m = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'm' to each side of the equation. 2d + -1m + m = 0 + m Combine like terms: -1m + m = 0 2d + 0 = 0 + m 2d = 0 + m Remove the zero: 2d = m Divide each side by '2'. d = 0.5m Simplifying d = 0.5m
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