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Simplifying 6d + -12 + -1d = 9d + 53 + f Reorder the terms: -12 + 6d + -1d = 9d + 53 + f Combine like terms: 6d + -1d = 5d -12 + 5d = 9d + 53 + f Reorder the terms: -12 + 5d = 53 + 9d + f Solving -12 + 5d = 53 + 9d + f Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. -12 + 5d + -9d = 53 + 9d + -9d + f Combine like terms: 5d + -9d = -4d -12 + -4d = 53 + 9d + -9d + f Combine like terms: 9d + -9d = 0 -12 + -4d = 53 + 0 + f -12 + -4d = 53 + f Add '12' to each side of the equation. -12 + 12 + -4d = 53 + 12 + f Combine like terms: -12 + 12 = 0 0 + -4d = 53 + 12 + f -4d = 53 + 12 + f Combine like terms: 53 + 12 = 65 -4d = 65 + f Divide each side by '-4'. d = -16.25 + -0.25f Simplifying d = -16.25 + -0.25f
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