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Simplifying 234 = 8(4p + 1) + 2 Reorder the terms: 234 = 8(1 + 4p) + 2 234 = (1 * 8 + 4p * 8) + 2 234 = (8 + 32p) + 2 Reorder the terms: 234 = 8 + 2 + 32p Combine like terms: 8 + 2 = 10 234 = 10 + 32p Solving 234 = 10 + 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. 234 + -32p = 10 + 32p + -32p Combine like terms: 32p + -32p = 0 234 + -32p = 10 + 0 234 + -32p = 10 Add '-234' to each side of the equation. 234 + -234 + -32p = 10 + -234 Combine like terms: 234 + -234 = 0 0 + -32p = 10 + -234 -32p = 10 + -234 Combine like terms: 10 + -234 = -224 -32p = -224 Divide each side by '-32'. p = 7 Simplifying p = 7
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