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Simplifying 6d + -24 = 11d + -18d + -72 Reorder the terms: -24 + 6d = 11d + -18d + -72 Reorder the terms: -24 + 6d = -72 + 11d + -18d Combine like terms: 11d + -18d = -7d -24 + 6d = -72 + -7d Solving -24 + 6d = -72 + -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. -24 + 6d + 7d = -72 + -7d + 7d Combine like terms: 6d + 7d = 13d -24 + 13d = -72 + -7d + 7d Combine like terms: -7d + 7d = 0 -24 + 13d = -72 + 0 -24 + 13d = -72 Add '24' to each side of the equation. -24 + 24 + 13d = -72 + 24 Combine like terms: -24 + 24 = 0 0 + 13d = -72 + 24 13d = -72 + 24 Combine like terms: -72 + 24 = -48 13d = -48 Divide each side by '13'. d = -3.692307692 Simplifying d = -3.692307692
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