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Simplifying 7(3p + 8) = 2(p + q) Reorder the terms: 7(8 + 3p) = 2(p + q) (8 * 7 + 3p * 7) = 2(p + q) (56 + 21p) = 2(p + q) 56 + 21p = (p * 2 + q * 2) 56 + 21p = (2p + 2q) Solving 56 + 21p = 2p + 2q Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 56 + 21p + -2p = 2p + -2p + 2q Combine like terms: 21p + -2p = 19p 56 + 19p = 2p + -2p + 2q Combine like terms: 2p + -2p = 0 56 + 19p = 0 + 2q 56 + 19p = 2q Add '-56' to each side of the equation. 56 + -56 + 19p = -56 + 2q Combine like terms: 56 + -56 = 0 0 + 19p = -56 + 2q 19p = -56 + 2q Divide each side by '19'. p = -2.947368421 + 0.1052631579q Simplifying p = -2.947368421 + 0.1052631579q
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