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Simplifying -1.5d + 2 = -4(d + -1.5) Reorder the terms: 2 + -1.5d = -4(d + -1.5) Reorder the terms: 2 + -1.5d = -4(-1.5 + d) 2 + -1.5d = (-1.5 * -4 + d * -4) 2 + -1.5d = (6 + -4d) Solving 2 + -1.5d = 6 + -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. 2 + -1.5d + 4d = 6 + -4d + 4d Combine like terms: -1.5d + 4d = 2.5d 2 + 2.5d = 6 + -4d + 4d Combine like terms: -4d + 4d = 0 2 + 2.5d = 6 + 0 2 + 2.5d = 6 Add '-2' to each side of the equation. 2 + -2 + 2.5d = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 2.5d = 6 + -2 2.5d = 6 + -2 Combine like terms: 6 + -2 = 4 2.5d = 4 Divide each side by '2.5'. d = 1.6 Simplifying d = 1.6
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