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Simplifying 14d + 22 + 5d = 12d + -8 Reorder the terms: 22 + 14d + 5d = 12d + -8 Combine like terms: 14d + 5d = 19d 22 + 19d = 12d + -8 Reorder the terms: 22 + 19d = -8 + 12d Solving 22 + 19d = -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 + 19d + -12d = -8 + 12d + -12d Combine like terms: 19d + -12d = 7d 22 + 7d = -8 + 12d + -12d Combine like terms: 12d + -12d = 0 22 + 7d = -8 + 0 22 + 7d = -8 Add '-22' to each side of the equation. 22 + -22 + 7d = -8 + -22 Combine like terms: 22 + -22 = 0 0 + 7d = -8 + -22 7d = -8 + -22 Combine like terms: -8 + -22 = -30 7d = -30 Divide each side by '7'. d = -4.285714286 Simplifying d = -4.285714286
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