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Simplifying 6p + 7 + 6 + 3p = 4p + 38 Reorder the terms: 7 + 6 + 6p + 3p = 4p + 38 Combine like terms: 7 + 6 = 13 13 + 6p + 3p = 4p + 38 Combine like terms: 6p + 3p = 9p 13 + 9p = 4p + 38 Reorder the terms: 13 + 9p = 38 + 4p Solving 13 + 9p = 38 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 13 + 9p + -4p = 38 + 4p + -4p Combine like terms: 9p + -4p = 5p 13 + 5p = 38 + 4p + -4p Combine like terms: 4p + -4p = 0 13 + 5p = 38 + 0 13 + 5p = 38 Add '-13' to each side of the equation. 13 + -13 + 5p = 38 + -13 Combine like terms: 13 + -13 = 0 0 + 5p = 38 + -13 5p = 38 + -13 Combine like terms: 38 + -13 = 25 5p = 25 Divide each side by '5'. p = 5 Simplifying p = 5
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