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Simplifying 193 = 1 + -8(-4 + -4p) 193 = 1 + (-4 * -8 + -4p * -8) 193 = 1 + (32 + 32p) Combine like terms: 1 + 32 = 33 193 = 33 + 32p Solving 193 = 33 + 32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32p' to each side of the equation. 193 + -32p = 33 + 32p + -32p Combine like terms: 32p + -32p = 0 193 + -32p = 33 + 0 193 + -32p = 33 Add '-193' to each side of the equation. 193 + -193 + -32p = 33 + -193 Combine like terms: 193 + -193 = 0 0 + -32p = 33 + -193 -32p = 33 + -193 Combine like terms: 33 + -193 = -160 -32p = -160 Divide each side by '-32'. p = 5 Simplifying p = 5
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