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Simplifying 14d + -22 + 5d = 6 + 12d + -14 Reorder the terms: -22 + 14d + 5d = 6 + 12d + -14 Combine like terms: 14d + 5d = 19d -22 + 19d = 6 + 12d + -14 Reorder the terms: -22 + 19d = 6 + -14 + 12d Combine like terms: 6 + -14 = -8 -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 = 14 7d = 14 Divide each side by '7'. d = 2 Simplifying d = 2
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