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Simplifying 5q + 3p + 3 = 24p + 15 + 2q Reorder the terms: 3 + 3p + 5q = 24p + 15 + 2q Reorder the terms: 3 + 3p + 5q = 15 + 24p + 2q Solving 3 + 3p + 5q = 15 + 24p + 2q Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 3 + 3p + -24p + 5q = 15 + 24p + -24p + 2q Combine like terms: 3p + -24p = -21p 3 + -21p + 5q = 15 + 24p + -24p + 2q Combine like terms: 24p + -24p = 0 3 + -21p + 5q = 15 + 0 + 2q 3 + -21p + 5q = 15 + 2q Add '-3' to each side of the equation. 3 + -21p + -3 + 5q = 15 + -3 + 2q Reorder the terms: 3 + -3 + -21p + 5q = 15 + -3 + 2q Combine like terms: 3 + -3 = 0 0 + -21p + 5q = 15 + -3 + 2q -21p + 5q = 15 + -3 + 2q Combine like terms: 15 + -3 = 12 -21p + 5q = 12 + 2q Add '-5q' to each side of the equation. -21p + 5q + -5q = 12 + 2q + -5q Combine like terms: 5q + -5q = 0 -21p + 0 = 12 + 2q + -5q -21p = 12 + 2q + -5q Combine like terms: 2q + -5q = -3q -21p = 12 + -3q Divide each side by '-21'. p = -0.5714285714 + 0.1428571429q Simplifying p = -0.5714285714 + 0.1428571429q
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