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Simplifying 5d + -2(12 + -3d) = 54 5d + (12 * -2 + -3d * -2) = 54 5d + (-24 + 6d) = 54 Reorder the terms: -24 + 5d + 6d = 54 Combine like terms: 5d + 6d = 11d -24 + 11d = 54 Solving -24 + 11d = 54 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 11d = 54 + 24 Combine like terms: -24 + 24 = 0 0 + 11d = 54 + 24 11d = 54 + 24 Combine like terms: 54 + 24 = 78 11d = 78 Divide each side by '11'. d = 7.090909091 Simplifying d = 7.090909091
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