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Simplifying 6d + -12 + -1d = 9g + 53 + d Reorder the terms: -12 + 6d + -1d = 9g + 53 + d Combine like terms: 6d + -1d = 5d -12 + 5d = 9g + 53 + d Reorder the terms: -12 + 5d = 53 + d + 9g Solving -12 + 5d = 53 + d + 9g Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -12 + 5d + -1d = 53 + d + -1d + 9g Combine like terms: 5d + -1d = 4d -12 + 4d = 53 + d + -1d + 9g Combine like terms: d + -1d = 0 -12 + 4d = 53 + 0 + 9g -12 + 4d = 53 + 9g Add '12' to each side of the equation. -12 + 12 + 4d = 53 + 12 + 9g Combine like terms: -12 + 12 = 0 0 + 4d = 53 + 12 + 9g 4d = 53 + 12 + 9g Combine like terms: 53 + 12 = 65 4d = 65 + 9g Divide each side by '4'. d = 16.25 + 2.25g Simplifying d = 16.25 + 2.25g
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