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Simplifying 6d + 8 = 10d + -12 Reorder the terms: 8 + 6d = 10d + -12 Reorder the terms: 8 + 6d = -12 + 10d Solving 8 + 6d = -12 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 8 + 6d + -10d = -12 + 10d + -10d Combine like terms: 6d + -10d = -4d 8 + -4d = -12 + 10d + -10d Combine like terms: 10d + -10d = 0 8 + -4d = -12 + 0 8 + -4d = -12 Add '-8' to each side of the equation. 8 + -8 + -4d = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -4d = -12 + -8 -4d = -12 + -8 Combine like terms: -12 + -8 = -20 -4d = -20 Divide each side by '-4'. d = 5 Simplifying d = 5
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