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Simplifying 8(p + -4) = (2p + 1) Reorder the terms: 8(-4 + p) = (2p + 1) (-4 * 8 + p * 8) = (2p + 1) (-32 + 8p) = (2p + 1) Reorder the terms: -32 + 8p = (1 + 2p) Remove parenthesis around (1 + 2p) -32 + 8p = 1 + 2p Solving -32 + 8p = 1 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -32 + 8p + -2p = 1 + 2p + -2p Combine like terms: 8p + -2p = 6p -32 + 6p = 1 + 2p + -2p Combine like terms: 2p + -2p = 0 -32 + 6p = 1 + 0 -32 + 6p = 1 Add '32' to each side of the equation. -32 + 32 + 6p = 1 + 32 Combine like terms: -32 + 32 = 0 0 + 6p = 1 + 32 6p = 1 + 32 Combine like terms: 1 + 32 = 33 6p = 33 Divide each side by '6'. p = 5.5 Simplifying p = 5.5
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