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Simplifying -32 + -7p = 3p + -4(3p + 5) Reorder the terms: -32 + -7p = 3p + -4(5 + 3p) -32 + -7p = 3p + (5 * -4 + 3p * -4) -32 + -7p = 3p + (-20 + -12p) Reorder the terms: -32 + -7p = -20 + 3p + -12p Combine like terms: 3p + -12p = -9p -32 + -7p = -20 + -9p Solving -32 + -7p = -20 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. -32 + -7p + 9p = -20 + -9p + 9p Combine like terms: -7p + 9p = 2p -32 + 2p = -20 + -9p + 9p Combine like terms: -9p + 9p = 0 -32 + 2p = -20 + 0 -32 + 2p = -20 Add '32' to each side of the equation. -32 + 32 + 2p = -20 + 32 Combine like terms: -32 + 32 = 0 0 + 2p = -20 + 32 2p = -20 + 32 Combine like terms: -20 + 32 = 12 2p = 12 Divide each side by '2'. p = 6 Simplifying p = 6
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