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Simplifying d + -3 = 6d + 12 Reorder the terms: -3 + d = 6d + 12 Reorder the terms: -3 + d = 12 + 6d Solving -3 + d = 12 + 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 + d + -6d = 12 + 6d + -6d Combine like terms: d + -6d = -5d -3 + -5d = 12 + 6d + -6d Combine like terms: 6d + -6d = 0 -3 + -5d = 12 + 0 -3 + -5d = 12 Add '3' to each side of the equation. -3 + 3 + -5d = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -5d = 12 + 3 -5d = 12 + 3 Combine like terms: 12 + 3 = 15 -5d = 15 Divide each side by '-5'. d = -3 Simplifying d = -3
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