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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 = -4 -32 + 2p = -4 + -4p Solving -32 + 2p = -4 + -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 = -4 + -4p + 4p Combine like terms: 2p + 4p = 6p -32 + 6p = -4 + -4p + 4p Combine like terms: -4p + 4p = 0 -32 + 6p = -4 + 0 -32 + 6p = -4 Add '32' to each side of the equation. -32 + 32 + 6p = -4 + 32 Combine like terms: -32 + 32 = 0 0 + 6p = -4 + 32 6p = -4 + 32 Combine like terms: -4 + 32 = 28 6p = 28 Divide each side by '6'. p = 4.666666667 Simplifying p = 4.666666667
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