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Simplifying 7(1 + -8d) = -23 (1 * 7 + -8d * 7) = -23 (7 + -56d) = -23 Solving 7 + -56d = -23 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -56d = -23 + -7 Combine like terms: 7 + -7 = 0 0 + -56d = -23 + -7 -56d = -23 + -7 Combine like terms: -23 + -7 = -30 -56d = -30 Divide each side by '-56'. d = 0.5357142857 Simplifying d = 0.5357142857
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