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Simplifying 12d + 3 = 6d + 45 Reorder the terms: 3 + 12d = 6d + 45 Reorder the terms: 3 + 12d = 45 + 6d Solving 3 + 12d = 45 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 3 + 12d + -6d = 45 + 6d + -6d Combine like terms: 12d + -6d = 6d 3 + 6d = 45 + 6d + -6d Combine like terms: 6d + -6d = 0 3 + 6d = 45 + 0 3 + 6d = 45 Add '-3' to each side of the equation. 3 + -3 + 6d = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 6d = 45 + -3 6d = 45 + -3 Combine like terms: 45 + -3 = 42 6d = 42 Divide each side by '6'. d = 7 Simplifying d = 7
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