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Simplifying -34 + 4p = 6 + -5(7p + 8) Reorder the terms: -34 + 4p = 6 + -5(8 + 7p) -34 + 4p = 6 + (8 * -5 + 7p * -5) -34 + 4p = 6 + (-40 + -35p) Combine like terms: 6 + -40 = -34 -34 + 4p = -34 + -35p Add '34' to each side of the equation. -34 + 34 + 4p = -34 + 34 + -35p Combine like terms: -34 + 34 = 0 0 + 4p = -34 + 34 + -35p 4p = -34 + 34 + -35p Combine like terms: -34 + 34 = 0 4p = 0 + -35p 4p = -35p Solving 4p = -35p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '35p' to each side of the equation. 4p + 35p = -35p + 35p Combine like terms: 4p + 35p = 39p 39p = -35p + 35p Combine like terms: -35p + 35p = 0 39p = 0 Divide each side by '39'. p = 0 Simplifying p = 0
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