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Simplifying 0.5d + 2 = -4(d + -0.5) Reorder the terms: 2 + 0.5d = -4(d + -0.5) Reorder the terms: 2 + 0.5d = -4(-0.5 + d) 2 + 0.5d = (-0.5 * -4 + d * -4) 2 + 0.5d = (2 + -4d) Add '-2' to each side of the equation. 2 + -2 + 0.5d = 2 + -2 + -4d Combine like terms: 2 + -2 = 0 0 + 0.5d = 2 + -2 + -4d 0.5d = 2 + -2 + -4d Combine like terms: 2 + -2 = 0 0.5d = 0 + -4d 0.5d = -4d Solving 0.5d = -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. 0.5d + 4d = -4d + 4d Combine like terms: 0.5d + 4d = 4.5d 4.5d = -4d + 4d Combine like terms: -4d + 4d = 0 4.5d = 0 Divide each side by '4.5'. d = 0 Simplifying d = 0
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