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Simplifying 6d + -12 + -1d = 9d + 53 + 9 Reorder the terms: -12 + 6d + -1d = 9d + 53 + 9 Combine like terms: 6d + -1d = 5d -12 + 5d = 9d + 53 + 9 Reorder the terms: -12 + 5d = 53 + 9 + 9d Combine like terms: 53 + 9 = 62 -12 + 5d = 62 + 9d Solving -12 + 5d = 62 + 9d 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 = 62 + 9d + -9d Combine like terms: 5d + -9d = -4d -12 + -4d = 62 + 9d + -9d Combine like terms: 9d + -9d = 0 -12 + -4d = 62 + 0 -12 + -4d = 62 Add '12' to each side of the equation. -12 + 12 + -4d = 62 + 12 Combine like terms: -12 + 12 = 0 0 + -4d = 62 + 12 -4d = 62 + 12 Combine like terms: 62 + 12 = 74 -4d = 74 Divide each side by '-4'. d = -18.5 Simplifying d = -18.5
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