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Simplifying 8(6d + 9) = -23 + -7d Reorder the terms: 8(9 + 6d) = -23 + -7d (9 * 8 + 6d * 8) = -23 + -7d (72 + 48d) = -23 + -7d Solving 72 + 48d = -23 + -7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '7d' to each side of the equation. 72 + 48d + 7d = -23 + -7d + 7d Combine like terms: 48d + 7d = 55d 72 + 55d = -23 + -7d + 7d Combine like terms: -7d + 7d = 0 72 + 55d = -23 + 0 72 + 55d = -23 Add '-72' to each side of the equation. 72 + -72 + 55d = -23 + -72 Combine like terms: 72 + -72 = 0 0 + 55d = -23 + -72 55d = -23 + -72 Combine like terms: -23 + -72 = -95 55d = -95 Divide each side by '55'. d = -1.727272727 Simplifying d = -1.727272727
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