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Simplifying 21 + 5d = 14 + 12d Solving 21 + 5d = 14 + 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. 21 + 5d + -12d = 14 + 12d + -12d Combine like terms: 5d + -12d = -7d 21 + -7d = 14 + 12d + -12d Combine like terms: 12d + -12d = 0 21 + -7d = 14 + 0 21 + -7d = 14 Add '-21' to each side of the equation. 21 + -21 + -7d = 14 + -21 Combine like terms: 21 + -21 = 0 0 + -7d = 14 + -21 -7d = 14 + -21 Combine like terms: 14 + -21 = -7 -7d = -7 Divide each side by '-7'. d = 1 Simplifying d = 1
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