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Simplifying 4(8p + 4q + -7r) = 0 (8p * 4 + 4q * 4 + -7r * 4) = 0 (32p + 16q + -28r) = 0 Solving 32p + 16q + -28r = 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. 32p + 16q + -16q + -28r = 0 + -16q Combine like terms: 16q + -16q = 0 32p + 0 + -28r = 0 + -16q 32p + -28r = 0 + -16q Remove the zero: 32p + -28r = -16q Add '28r' to each side of the equation. 32p + -28r + 28r = -16q + 28r Combine like terms: -28r + 28r = 0 32p + 0 = -16q + 28r 32p = -16q + 28r Divide each side by '32'. p = -0.5q + 0.875r Simplifying p = -0.5q + 0.875r
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