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Simplifying 7(6 + -8d) = -23 (6 * 7 + -8d * 7) = -23 (42 + -56d) = -23 Solving 42 + -56d = -23 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -56d = -23 + -42 Combine like terms: 42 + -42 = 0 0 + -56d = -23 + -42 -56d = -23 + -42 Combine like terms: -23 + -42 = -65 -56d = -65 Divide each side by '-56'. d = 1.160714286 Simplifying d = 1.160714286
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