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Simplifying 5(1 + 8p) + -2 = 8p + 35 (1 * 5 + 8p * 5) + -2 = 8p + 35 (5 + 40p) + -2 = 8p + 35 Reorder the terms: 5 + -2 + 40p = 8p + 35 Combine like terms: 5 + -2 = 3 3 + 40p = 8p + 35 Reorder the terms: 3 + 40p = 35 + 8p Solving 3 + 40p = 35 + 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. 3 + 40p + -8p = 35 + 8p + -8p Combine like terms: 40p + -8p = 32p 3 + 32p = 35 + 8p + -8p Combine like terms: 8p + -8p = 0 3 + 32p = 35 + 0 3 + 32p = 35 Add '-3' to each side of the equation. 3 + -3 + 32p = 35 + -3 Combine like terms: 3 + -3 = 0 0 + 32p = 35 + -3 32p = 35 + -3 Combine like terms: 35 + -3 = 32 32p = 32 Divide each side by '32'. p = 1 Simplifying p = 1
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