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Simplifying 6d + 10 = 12d + -5 Reorder the terms: 10 + 6d = 12d + -5 Reorder the terms: 10 + 6d = -5 + 12d Solving 10 + 6d = -5 + 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. 10 + 6d + -12d = -5 + 12d + -12d Combine like terms: 6d + -12d = -6d 10 + -6d = -5 + 12d + -12d Combine like terms: 12d + -12d = 0 10 + -6d = -5 + 0 10 + -6d = -5 Add '-10' to each side of the equation. 10 + -10 + -6d = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -6d = -5 + -10 -6d = -5 + -10 Combine like terms: -5 + -10 = -15 -6d = -15 Divide each side by '-6'. d = 2.5 Simplifying d = 2.5
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