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Simplifying 13p + -1q + -27 = 4p + -24 Reorder the terms: -27 + 13p + -1q = 4p + -24 Reorder the terms: -27 + 13p + -1q = -24 + 4p Solving -27 + 13p + -1q = -24 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -27 + 13p + -4p + -1q = -24 + 4p + -4p Combine like terms: 13p + -4p = 9p -27 + 9p + -1q = -24 + 4p + -4p Combine like terms: 4p + -4p = 0 -27 + 9p + -1q = -24 + 0 -27 + 9p + -1q = -24 Add '27' to each side of the equation. -27 + 9p + 27 + -1q = -24 + 27 Reorder the terms: -27 + 27 + 9p + -1q = -24 + 27 Combine like terms: -27 + 27 = 0 0 + 9p + -1q = -24 + 27 9p + -1q = -24 + 27 Combine like terms: -24 + 27 = 3 9p + -1q = 3 Add 'q' to each side of the equation. 9p + -1q + q = 3 + q Combine like terms: -1q + q = 0 9p + 0 = 3 + q 9p = 3 + q Divide each side by '9'. p = 0.3333333333 + 0.1111111111q Simplifying p = 0.3333333333 + 0.1111111111q
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