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Simplifying 7p + 6 = 3p + 38 Reorder the terms: 6 + 7p = 3p + 38 Reorder the terms: 6 + 7p = 38 + 3p Solving 6 + 7p = 38 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 6 + 7p + -3p = 38 + 3p + -3p Combine like terms: 7p + -3p = 4p 6 + 4p = 38 + 3p + -3p Combine like terms: 3p + -3p = 0 6 + 4p = 38 + 0 6 + 4p = 38 Add '-6' to each side of the equation. 6 + -6 + 4p = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 4p = 38 + -6 4p = 38 + -6 Combine like terms: 38 + -6 = 32 4p = 32 Divide each side by '4'. p = 8 Simplifying p = 8
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