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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 = 3.5d 3.5d = -4d + 4d Combine like terms: -4d + 4d = 0 3.5d = 0 Divide each side by '3.5'. d = 0 Simplifying d = 0
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