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Simplifying 6d + -12d + -1d = 9d + 53 + d Combine like terms: 6d + -12d = -6d -6d + -1d = 9d + 53 + d Combine like terms: -6d + -1d = -7d -7d = 9d + 53 + d Reorder the terms: -7d = 53 + 9d + d Combine like terms: 9d + d = 10d -7d = 53 + 10d Solving -7d = 53 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. -7d + -10d = 53 + 10d + -10d Combine like terms: -7d + -10d = -17d -17d = 53 + 10d + -10d Combine like terms: 10d + -10d = 0 -17d = 53 + 0 -17d = 53 Divide each side by '-17'. d = -3.117647059 Simplifying d = -3.117647059
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