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Simplifying 4d + -22 + 5d = 12d + -8 Reorder the terms: -22 + 4d + 5d = 12d + -8 Combine like terms: 4d + 5d = 9d -22 + 9d = 12d + -8 Reorder the terms: -22 + 9d = -8 + 12d Solving -22 + 9d = -8 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. -22 + 9d + -12d = -8 + 12d + -12d Combine like terms: 9d + -12d = -3d -22 + -3d = -8 + 12d + -12d Combine like terms: 12d + -12d = 0 -22 + -3d = -8 + 0 -22 + -3d = -8 Add '22' to each side of the equation. -22 + 22 + -3d = -8 + 22 Combine like terms: -22 + 22 = 0 0 + -3d = -8 + 22 -3d = -8 + 22 Combine like terms: -8 + 22 = 14 -3d = 14 Divide each side by '-3'. d = -4.666666667 Simplifying d = -4.666666667
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