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Simplifying 0.15 + -0.2d = 30(d + 3) Reorder the terms: 0.15 + -0.2d = 30(3 + d) 0.15 + -0.2d = (3 * 30 + d * 30) 0.15 + -0.2d = (90 + 30d) Solving 0.15 + -0.2d = 90 + 30d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-30d' to each side of the equation. 0.15 + -0.2d + -30d = 90 + 30d + -30d Combine like terms: -0.2d + -30d = -30.2d 0.15 + -30.2d = 90 + 30d + -30d Combine like terms: 30d + -30d = 0 0.15 + -30.2d = 90 + 0 0.15 + -30.2d = 90 Add '-0.15' to each side of the equation. 0.15 + -0.15 + -30.2d = 90 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + -30.2d = 90 + -0.15 -30.2d = 90 + -0.15 Combine like terms: 90 + -0.15 = 89.85 -30.2d = 89.85 Divide each side by '-30.2'. d = -2.975165563 Simplifying d = -2.975165563
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