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Simplifying 34 = -2(2p + 5) + 5(1 + -7p) Reorder the terms: 34 = -2(5 + 2p) + 5(1 + -7p) 34 = (5 * -2 + 2p * -2) + 5(1 + -7p) 34 = (-10 + -4p) + 5(1 + -7p) 34 = -10 + -4p + (1 * 5 + -7p * 5) 34 = -10 + -4p + (5 + -35p) Reorder the terms: 34 = -10 + 5 + -4p + -35p Combine like terms: -10 + 5 = -5 34 = -5 + -4p + -35p Combine like terms: -4p + -35p = -39p 34 = -5 + -39p Solving 34 = -5 + -39p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '39p' to each side of the equation. 34 + 39p = -5 + -39p + 39p Combine like terms: -39p + 39p = 0 34 + 39p = -5 + 0 34 + 39p = -5 Add '-34' to each side of the equation. 34 + -34 + 39p = -5 + -34 Combine like terms: 34 + -34 = 0 0 + 39p = -5 + -34 39p = -5 + -34 Combine like terms: -5 + -34 = -39 39p = -39 Divide each side by '39'. p = -1 Simplifying p = -1
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