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Simplifying 3p + 6q + -4r + -8 = -9q + 8r + -11 Reorder the terms: -8 + 3p + 6q + -4r = -9q + 8r + -11 Reorder the terms: -8 + 3p + 6q + -4r = -11 + -9q + 8r Solving -8 + 3p + 6q + -4r = -11 + -9q + 8r Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 3p + 6q + 8 + -4r = -11 + -9q + 8 + 8r Reorder the terms: -8 + 8 + 3p + 6q + -4r = -11 + -9q + 8 + 8r Combine like terms: -8 + 8 = 0 0 + 3p + 6q + -4r = -11 + -9q + 8 + 8r 3p + 6q + -4r = -11 + -9q + 8 + 8r Reorder the terms: 3p + 6q + -4r = -11 + 8 + -9q + 8r Combine like terms: -11 + 8 = -3 3p + 6q + -4r = -3 + -9q + 8r Add '-6q' to each side of the equation. 3p + 6q + -6q + -4r = -3 + -9q + -6q + 8r Combine like terms: 6q + -6q = 0 3p + 0 + -4r = -3 + -9q + -6q + 8r 3p + -4r = -3 + -9q + -6q + 8r Combine like terms: -9q + -6q = -15q 3p + -4r = -3 + -15q + 8r Add '4r' to each side of the equation. 3p + -4r + 4r = -3 + -15q + 8r + 4r Combine like terms: -4r + 4r = 0 3p + 0 = -3 + -15q + 8r + 4r 3p = -3 + -15q + 8r + 4r Combine like terms: 8r + 4r = 12r 3p = -3 + -15q + 12r Divide each side by '3'. p = -1 + -5q + 4r Simplifying p = -1 + -5q + 4r
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