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Simplifying 4(8 + -1p) = 22 + -6p (8 * 4 + -1p * 4) = 22 + -6p (32 + -4p) = 22 + -6p Solving 32 + -4p = 22 + -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 = 22 + -6p + 6p Combine like terms: -4p + 6p = 2p 32 + 2p = 22 + -6p + 6p Combine like terms: -6p + 6p = 0 32 + 2p = 22 + 0 32 + 2p = 22 Add '-32' to each side of the equation. 32 + -32 + 2p = 22 + -32 Combine like terms: 32 + -32 = 0 0 + 2p = 22 + -32 2p = 22 + -32 Combine like terms: 22 + -32 = -10 2p = -10 Divide each side by '2'. p = -5 Simplifying p = -5
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