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Simplifying 4(2p + -8) + -6p = 20 + 4(p + 6) Reorder the terms: 4(-8 + 2p) + -6p = 20 + 4(p + 6) (-8 * 4 + 2p * 4) + -6p = 20 + 4(p + 6) (-32 + 8p) + -6p = 20 + 4(p + 6) Combine like terms: 8p + -6p = 2p -32 + 2p = 20 + 4(p + 6) Reorder the terms: -32 + 2p = 20 + 4(6 + p) -32 + 2p = 20 + (6 * 4 + p * 4) -32 + 2p = 20 + (24 + 4p) Combine like terms: 20 + 24 = 44 -32 + 2p = 44 + 4p Solving -32 + 2p = 44 + 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 = 44 + 4p + -4p Combine like terms: 2p + -4p = -2p -32 + -2p = 44 + 4p + -4p Combine like terms: 4p + -4p = 0 -32 + -2p = 44 + 0 -32 + -2p = 44 Add '32' to each side of the equation. -32 + 32 + -2p = 44 + 32 Combine like terms: -32 + 32 = 0 0 + -2p = 44 + 32 -2p = 44 + 32 Combine like terms: 44 + 32 = 76 -2p = 76 Divide each side by '-2'. p = -38 Simplifying p = -38
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