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Simplifying 0.15 + -0.2d = 0.3(d + 3) Reorder the terms: 0.15 + -0.2d = 0.3(3 + d) 0.15 + -0.2d = (3 * 0.3 + d * 0.3) 0.15 + -0.2d = (0.9 + 0.3d) Solving 0.15 + -0.2d = 0.9 + 0.3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.3d' to each side of the equation. 0.15 + -0.2d + -0.3d = 0.9 + 0.3d + -0.3d Combine like terms: -0.2d + -0.3d = -0.5d 0.15 + -0.5d = 0.9 + 0.3d + -0.3d Combine like terms: 0.3d + -0.3d = 0.0 0.15 + -0.5d = 0.9 + 0.0 0.15 + -0.5d = 0.9 Add '-0.15' to each side of the equation. 0.15 + -0.15 + -0.5d = 0.9 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + -0.5d = 0.9 + -0.15 -0.5d = 0.9 + -0.15 Combine like terms: 0.9 + -0.15 = 0.75 -0.5d = 0.75 Divide each side by '-0.5'. d = -1.5 Simplifying d = -1.5
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