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Simplifying 2p + -1q = 3(2p + -5) Reorder the terms: 2p + -1q = 3(-5 + 2p) 2p + -1q = (-5 * 3 + 2p * 3) 2p + -1q = (-15 + 6p) Solving 2p + -1q = -15 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 2p + -6p + -1q = -15 + 6p + -6p Combine like terms: 2p + -6p = -4p -4p + -1q = -15 + 6p + -6p Combine like terms: 6p + -6p = 0 -4p + -1q = -15 + 0 -4p + -1q = -15 Add 'q' to each side of the equation. -4p + -1q + q = -15 + q Combine like terms: -1q + q = 0 -4p + 0 = -15 + q -4p = -15 + q Divide each side by '-4'. p = 3.75 + -0.25q Simplifying p = 3.75 + -0.25q
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