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Simplifying -94 = 2 + -8(p + 4) Reorder the terms: -94 = 2 + -8(4 + p) -94 = 2 + (4 * -8 + p * -8) -94 = 2 + (-32 + -8p) Combine like terms: 2 + -32 = -30 -94 = -30 + -8p Solving -94 = -30 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -94 + 8p = -30 + -8p + 8p Combine like terms: -8p + 8p = 0 -94 + 8p = -30 + 0 -94 + 8p = -30 Add '94' to each side of the equation. -94 + 94 + 8p = -30 + 94 Combine like terms: -94 + 94 = 0 0 + 8p = -30 + 94 8p = -30 + 94 Combine like terms: -30 + 94 = 64 8p = 64 Divide each side by '8'. p = 8 Simplifying p = 8
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