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Simplifying -32 + -2p = -7p + -6(2p + -6) Reorder the terms: -32 + -2p = -7p + -6(-6 + 2p) -32 + -2p = -7p + (-6 * -6 + 2p * -6) -32 + -2p = -7p + (36 + -12p) Reorder the terms: -32 + -2p = 36 + -7p + -12p Combine like terms: -7p + -12p = -19p -32 + -2p = 36 + -19p Solving -32 + -2p = 36 + -19p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '19p' to each side of the equation. -32 + -2p + 19p = 36 + -19p + 19p Combine like terms: -2p + 19p = 17p -32 + 17p = 36 + -19p + 19p Combine like terms: -19p + 19p = 0 -32 + 17p = 36 + 0 -32 + 17p = 36 Add '32' to each side of the equation. -32 + 32 + 17p = 36 + 32 Combine like terms: -32 + 32 = 0 0 + 17p = 36 + 32 17p = 36 + 32 Combine like terms: 36 + 32 = 68 17p = 68 Divide each side by '17'. p = 4 Simplifying p = 4
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