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Simplifying 194 = 2 + -8(4 + 4p) 194 = 2 + (4 * -8 + 4p * -8) 194 = 2 + (-32 + -32p) Combine like terms: 2 + -32 = -30 194 = -30 + -32p Solving 194 = -30 + -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. 194 + 32p = -30 + -32p + 32p Combine like terms: -32p + 32p = 0 194 + 32p = -30 + 0 194 + 32p = -30 Add '-194' to each side of the equation. 194 + -194 + 32p = -30 + -194 Combine like terms: 194 + -194 = 0 0 + 32p = -30 + -194 32p = -30 + -194 Combine like terms: -30 + -194 = -224 32p = -224 Divide each side by '32'. p = -7 Simplifying p = -7
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