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Simplifying 9(8 + -7d) = -23d + -8 (8 * 9 + -7d * 9) = -23d + -8 (72 + -63d) = -23d + -8 Reorder the terms: 72 + -63d = -8 + -23d Solving 72 + -63d = -8 + -23d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '23d' to each side of the equation. 72 + -63d + 23d = -8 + -23d + 23d Combine like terms: -63d + 23d = -40d 72 + -40d = -8 + -23d + 23d Combine like terms: -23d + 23d = 0 72 + -40d = -8 + 0 72 + -40d = -8 Add '-72' to each side of the equation. 72 + -72 + -40d = -8 + -72 Combine like terms: 72 + -72 = 0 0 + -40d = -8 + -72 -40d = -8 + -72 Combine like terms: -8 + -72 = -80 -40d = -80 Divide each side by '-40'. d = 2 Simplifying d = 2
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