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Simplifying 7(p + -2) + 3p = 2(5 + -1p) Reorder the terms: 7(-2 + p) + 3p = 2(5 + -1p) (-2 * 7 + p * 7) + 3p = 2(5 + -1p) (-14 + 7p) + 3p = 2(5 + -1p) Combine like terms: 7p + 3p = 10p -14 + 10p = 2(5 + -1p) -14 + 10p = (5 * 2 + -1p * 2) -14 + 10p = (10 + -2p) Solving -14 + 10p = 10 + -2p 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. -14 + 10p + 2p = 10 + -2p + 2p Combine like terms: 10p + 2p = 12p -14 + 12p = 10 + -2p + 2p Combine like terms: -2p + 2p = 0 -14 + 12p = 10 + 0 -14 + 12p = 10 Add '14' to each side of the equation. -14 + 14 + 12p = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 12p = 10 + 14 12p = 10 + 14 Combine like terms: 10 + 14 = 24 12p = 24 Divide each side by '12'. p = 2 Simplifying p = 2
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