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Simplifying 5(6p + -7) = 34 + 7p Reorder the terms: 5(-7 + 6p) = 34 + 7p (-7 * 5 + 6p * 5) = 34 + 7p (-35 + 30p) = 34 + 7p Solving -35 + 30p = 34 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -35 + 30p + -7p = 34 + 7p + -7p Combine like terms: 30p + -7p = 23p -35 + 23p = 34 + 7p + -7p Combine like terms: 7p + -7p = 0 -35 + 23p = 34 + 0 -35 + 23p = 34 Add '35' to each side of the equation. -35 + 35 + 23p = 34 + 35 Combine like terms: -35 + 35 = 0 0 + 23p = 34 + 35 23p = 34 + 35 Combine like terms: 34 + 35 = 69 23p = 69 Divide each side by '23'. p = 3 Simplifying p = 3
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