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Simplifying 6d + 1.5 = 4(d + -2) Reorder the terms: 1.5 + 6d = 4(d + -2) Reorder the terms: 1.5 + 6d = 4(-2 + d) 1.5 + 6d = (-2 * 4 + d * 4) 1.5 + 6d = (-8 + 4d) Solving 1.5 + 6d = -8 + 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. 1.5 + 6d + -4d = -8 + 4d + -4d Combine like terms: 6d + -4d = 2d 1.5 + 2d = -8 + 4d + -4d Combine like terms: 4d + -4d = 0 1.5 + 2d = -8 + 0 1.5 + 2d = -8 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 2d = -8 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 2d = -8 + -1.5 2d = -8 + -1.5 Combine like terms: -8 + -1.5 = -9.5 2d = -9.5 Divide each side by '2'. d = -4.75 Simplifying d = -4.75
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