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Simplifying 8 + 6p + -1(2p + 7) + -1(2p + 8) = 0 Reorder the terms: 8 + 6p + -1(7 + 2p) + -1(2p + 8) = 0 8 + 6p + (7 * -1 + 2p * -1) + -1(2p + 8) = 0 8 + 6p + (-7 + -2p) + -1(2p + 8) = 0 Reorder the terms: 8 + 6p + -7 + -2p + -1(8 + 2p) = 0 8 + 6p + -7 + -2p + (8 * -1 + 2p * -1) = 0 8 + 6p + -7 + -2p + (-8 + -2p) = 0 Reorder the terms: 8 + -7 + -8 + 6p + -2p + -2p = 0 Combine like terms: 8 + -7 = 1 1 + -8 + 6p + -2p + -2p = 0 Combine like terms: 1 + -8 = -7 -7 + 6p + -2p + -2p = 0 Combine like terms: 6p + -2p = 4p -7 + 4p + -2p = 0 Combine like terms: 4p + -2p = 2p -7 + 2p = 0 Solving -7 + 2p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2p = 0 + 7 2p = 0 + 7 Combine like terms: 0 + 7 = 7 2p = 7 Divide each side by '2'. p = 3.5 Simplifying p = 3.5
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