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Simplifying 4(2p + -8) + -6p = 20 + 4p Reorder the terms: 4(-8 + 2p) + -6p = 20 + 4p (-8 * 4 + 2p * 4) + -6p = 20 + 4p (-32 + 8p) + -6p = 20 + 4p Combine like terms: 8p + -6p = 2p -32 + 2p = 20 + 4p Solving -32 + 2p = 20 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -32 + 2p + -4p = 20 + 4p + -4p Combine like terms: 2p + -4p = -2p -32 + -2p = 20 + 4p + -4p Combine like terms: 4p + -4p = 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 = 52 -2p = 52 Divide each side by '-2'. p = -26 Simplifying p = -26
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