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Simplifying 6d + -12 + -1d = 9d + 53 + -1d Reorder the terms: -12 + 6d + -1d = 9d + 53 + -1d Combine like terms: 6d + -1d = 5d -12 + 5d = 9d + 53 + -1d Reorder the terms: -12 + 5d = 53 + 9d + -1d Combine like terms: 9d + -1d = 8d -12 + 5d = 53 + 8d Solving -12 + 5d = 53 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -12 + 5d + -8d = 53 + 8d + -8d Combine like terms: 5d + -8d = -3d -12 + -3d = 53 + 8d + -8d Combine like terms: 8d + -8d = 0 -12 + -3d = 53 + 0 -12 + -3d = 53 Add '12' to each side of the equation. -12 + 12 + -3d = 53 + 12 Combine like terms: -12 + 12 = 0 0 + -3d = 53 + 12 -3d = 53 + 12 Combine like terms: 53 + 12 = 65 -3d = 65 Divide each side by '-3'. d = -21.66666667 Simplifying d = -21.66666667
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