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Simplifying 8p + -1(6p + 20) = 5 + -1(4p + -4) Reorder the terms: 8p + -1(20 + 6p) = 5 + -1(4p + -4) 8p + (20 * -1 + 6p * -1) = 5 + -1(4p + -4) 8p + (-20 + -6p) = 5 + -1(4p + -4) Reorder the terms: -20 + 8p + -6p = 5 + -1(4p + -4) Combine like terms: 8p + -6p = 2p -20 + 2p = 5 + -1(4p + -4) Reorder the terms: -20 + 2p = 5 + -1(-4 + 4p) -20 + 2p = 5 + (-4 * -1 + 4p * -1) -20 + 2p = 5 + (4 + -4p) Combine like terms: 5 + 4 = 9 -20 + 2p = 9 + -4p Solving -20 + 2p = 9 + -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. -20 + 2p + 4p = 9 + -4p + 4p Combine like terms: 2p + 4p = 6p -20 + 6p = 9 + -4p + 4p Combine like terms: -4p + 4p = 0 -20 + 6p = 9 + 0 -20 + 6p = 9 Add '20' to each side of the equation. -20 + 20 + 6p = 9 + 20 Combine like terms: -20 + 20 = 0 0 + 6p = 9 + 20 6p = 9 + 20 Combine like terms: 9 + 20 = 29 6p = 29 Divide each side by '6'. p = 4.833333333 Simplifying p = 4.833333333
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