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Simplifying (2p + -2p + 4r) + -4(-2p + 4q + -7r) = 0 Combine like terms: 2p + -2p = 0 (0 + 4r) + -4(-2p + 4q + -7r) = 0 (4r) + -4(-2p + 4q + -7r) = 0 (4r) + -4(-2p + 4q + -7r) = 0 (4r) + (-2p * -4 + 4q * -4 + -7r * -4) = 0 (4r) + (8p + -16q + 28r) = 0 Reorder the terms: 8p + -16q + (4r) + 28r = 0 Combine like terms: (4r) + 28r = 32r 8p + -16q + 32r = 0 Solving 8p + -16q + 32r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16q' to each side of the equation. 8p + -16q + 16q + 32r = 0 + 16q Combine like terms: -16q + 16q = 0 8p + 0 + 32r = 0 + 16q 8p + 32r = 0 + 16q Remove the zero: 8p + 32r = 16q Add '-32r' to each side of the equation. 8p + 32r + -32r = 16q + -32r Combine like terms: 32r + -32r = 0 8p + 0 = 16q + -32r 8p = 16q + -32r Divide each side by '8'. p = 2q + -4r Simplifying p = 2q + -4r
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