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Simplifying 12 + 4pd + -2p + 6pd = 0 Reorder the terms: 12 + 4dp + 6dp + -2p = 0 Combine like terms: 4dp + 6dp = 10dp 12 + 10dp + -2p = 0 Solving 12 + 10dp + -2p = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 10dp + -12 + -2p = 0 + -12 Reorder the terms: 12 + -12 + 10dp + -2p = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 10dp + -2p = 0 + -12 10dp + -2p = 0 + -12 Combine like terms: 0 + -12 = -12 10dp + -2p = -12 Add '2p' to each side of the equation. 10dp + -2p + 2p = -12 + 2p Combine like terms: -2p + 2p = 0 10dp + 0 = -12 + 2p 10dp = -12 + 2p Divide each side by '10p'. d = -1.2p-1 + 0.2 Simplifying d = -1.2p-1 + 0.2 Reorder the terms: d = 0.2 + -1.2p-1
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