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Simplifying 13d + 12 = 8d + -13 Reorder the terms: 12 + 13d = 8d + -13 Reorder the terms: 12 + 13d = -13 + 8d Solving 12 + 13d = -13 + 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 + 13d + -8d = -13 + 8d + -8d Combine like terms: 13d + -8d = 5d 12 + 5d = -13 + 8d + -8d Combine like terms: 8d + -8d = 0 12 + 5d = -13 + 0 12 + 5d = -13 Add '-12' to each side of the equation. 12 + -12 + 5d = -13 + -12 Combine like terms: 12 + -12 = 0 0 + 5d = -13 + -12 5d = -13 + -12 Combine like terms: -13 + -12 = -25 5d = -25 Divide each side by '5'. d = -5 Simplifying d = -5
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