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Simplifying 4(p + -8) = 4 + 6p Reorder the terms: 4(-8 + p) = 4 + 6p (-8 * 4 + p * 4) = 4 + 6p (-32 + 4p) = 4 + 6p Solving -32 + 4p = 4 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -32 + 4p + -6p = 4 + 6p + -6p Combine like terms: 4p + -6p = -2p -32 + -2p = 4 + 6p + -6p Combine like terms: 6p + -6p = 0 -32 + -2p = 4 + 0 -32 + -2p = 4 Add '32' to each side of the equation. -32 + 32 + -2p = 4 + 32 Combine like terms: -32 + 32 = 0 0 + -2p = 4 + 32 -2p = 4 + 32 Combine like terms: 4 + 32 = 36 -2p = 36 Divide each side by '-2'. p = -18 Simplifying p = -18
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