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Simplifying 2p + -24 + 2q = 3p + -3q + 6 Reorder the terms: -24 + 2p + 2q = 3p + -3q + 6 Reorder the terms: -24 + 2p + 2q = 6 + 3p + -3q Solving -24 + 2p + 2q = 6 + 3p + -3q Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -24 + 2p + -3p + 2q = 6 + 3p + -3p + -3q Combine like terms: 2p + -3p = -1p -24 + -1p + 2q = 6 + 3p + -3p + -3q Combine like terms: 3p + -3p = 0 -24 + -1p + 2q = 6 + 0 + -3q -24 + -1p + 2q = 6 + -3q Add '24' to each side of the equation. -24 + -1p + 24 + 2q = 6 + 24 + -3q Reorder the terms: -24 + 24 + -1p + 2q = 6 + 24 + -3q Combine like terms: -24 + 24 = 0 0 + -1p + 2q = 6 + 24 + -3q -1p + 2q = 6 + 24 + -3q Combine like terms: 6 + 24 = 30 -1p + 2q = 30 + -3q Add '-2q' to each side of the equation. -1p + 2q + -2q = 30 + -3q + -2q Combine like terms: 2q + -2q = 0 -1p + 0 = 30 + -3q + -2q -1p = 30 + -3q + -2q Combine like terms: -3q + -2q = -5q -1p = 30 + -5q Divide each side by '-1'. p = -30 + 5q Simplifying p = -30 + 5q
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