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Simplifying 8d + -5(-6 + 3d) = 0 8d + (-6 * -5 + 3d * -5) = 0 8d + (30 + -15d) = 0 Reorder the terms: 30 + 8d + -15d = 0 Combine like terms: 8d + -15d = -7d 30 + -7d = 0 Solving 30 + -7d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -7d = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -7d = 0 + -30 -7d = 0 + -30 Combine like terms: 0 + -30 = -30 -7d = -30 Divide each side by '-7'. d = 4.285714286 Simplifying d = 4.285714286
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