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Simplifying p + -3q + 6r + -3 = 10q + -9r + 9 Reorder the terms: -3 + p + -3q + 6r = 10q + -9r + 9 Reorder the terms: -3 + p + -3q + 6r = 9 + 10q + -9r Solving -3 + p + -3q + 6r = 9 + 10q + -9r Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + p + -3q + 3 + 6r = 9 + 10q + 3 + -9r Reorder the terms: -3 + 3 + p + -3q + 6r = 9 + 10q + 3 + -9r Combine like terms: -3 + 3 = 0 0 + p + -3q + 6r = 9 + 10q + 3 + -9r p + -3q + 6r = 9 + 10q + 3 + -9r Reorder the terms: p + -3q + 6r = 9 + 3 + 10q + -9r Combine like terms: 9 + 3 = 12 p + -3q + 6r = 12 + 10q + -9r Add '3q' to each side of the equation. p + -3q + 3q + 6r = 12 + 10q + 3q + -9r Combine like terms: -3q + 3q = 0 p + 0 + 6r = 12 + 10q + 3q + -9r p + 6r = 12 + 10q + 3q + -9r Combine like terms: 10q + 3q = 13q p + 6r = 12 + 13q + -9r Add '-6r' to each side of the equation. p + 6r + -6r = 12 + 13q + -9r + -6r Combine like terms: 6r + -6r = 0 p + 0 = 12 + 13q + -9r + -6r p = 12 + 13q + -9r + -6r Combine like terms: -9r + -6r = -15r p = 12 + 13q + -15r Simplifying p = 12 + 13q + -15r
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