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Simplifying 2(p + 3) = 4p + q + -9 Reorder the terms: 2(3 + p) = 4p + q + -9 (3 * 2 + p * 2) = 4p + q + -9 (6 + 2p) = 4p + q + -9 Reorder the terms: 6 + 2p = -9 + 4p + q Solving 6 + 2p = -9 + 4p + q 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. 6 + 2p + -4p = -9 + 4p + -4p + q Combine like terms: 2p + -4p = -2p 6 + -2p = -9 + 4p + -4p + q Combine like terms: 4p + -4p = 0 6 + -2p = -9 + 0 + q 6 + -2p = -9 + q Add '-6' to each side of the equation. 6 + -6 + -2p = -9 + -6 + q Combine like terms: 6 + -6 = 0 0 + -2p = -9 + -6 + q -2p = -9 + -6 + q Combine like terms: -9 + -6 = -15 -2p = -15 + q Divide each side by '-2'. p = 7.5 + -0.5q Simplifying p = 7.5 + -0.5q
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