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Simplifying 4q + -2p + 3 = 19p + -3q + 31 Reorder the terms: 3 + -2p + 4q = 19p + -3q + 31 Reorder the terms: 3 + -2p + 4q = 31 + 19p + -3q Solving 3 + -2p + 4q = 31 + 19p + -3q Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-19p' to each side of the equation. 3 + -2p + -19p + 4q = 31 + 19p + -19p + -3q Combine like terms: -2p + -19p = -21p 3 + -21p + 4q = 31 + 19p + -19p + -3q Combine like terms: 19p + -19p = 0 3 + -21p + 4q = 31 + 0 + -3q 3 + -21p + 4q = 31 + -3q Add '-3' to each side of the equation. 3 + -21p + -3 + 4q = 31 + -3 + -3q Reorder the terms: 3 + -3 + -21p + 4q = 31 + -3 + -3q Combine like terms: 3 + -3 = 0 0 + -21p + 4q = 31 + -3 + -3q -21p + 4q = 31 + -3 + -3q Combine like terms: 31 + -3 = 28 -21p + 4q = 28 + -3q Add '-4q' to each side of the equation. -21p + 4q + -4q = 28 + -3q + -4q Combine like terms: 4q + -4q = 0 -21p + 0 = 28 + -3q + -4q -21p = 28 + -3q + -4q Combine like terms: -3q + -4q = -7q -21p = 28 + -7q Divide each side by '-21'. p = -1.333333333 + 0.3333333333q Simplifying p = -1.333333333 + 0.3333333333q
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