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Simplifying 3p + p = 6(5p + -4) + -4(7p + 2) Combine like terms: 3p + p = 4p 4p = 6(5p + -4) + -4(7p + 2) Reorder the terms: 4p = 6(-4 + 5p) + -4(7p + 2) 4p = (-4 * 6 + 5p * 6) + -4(7p + 2) 4p = (-24 + 30p) + -4(7p + 2) Reorder the terms: 4p = -24 + 30p + -4(2 + 7p) 4p = -24 + 30p + (2 * -4 + 7p * -4) 4p = -24 + 30p + (-8 + -28p) Reorder the terms: 4p = -24 + -8 + 30p + -28p Combine like terms: -24 + -8 = -32 4p = -32 + 30p + -28p Combine like terms: 30p + -28p = 2p 4p = -32 + 2p Solving 4p = -32 + 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. 4p + -2p = -32 + 2p + -2p Combine like terms: 4p + -2p = 2p 2p = -32 + 2p + -2p Combine like terms: 2p + -2p = 0 2p = -32 + 0 2p = -32 Divide each side by '2'. p = -16 Simplifying p = -16
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