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Simplifying p + 13 = 5p + 5 Reorder the terms: 13 + p = 5p + 5 Reorder the terms: 13 + p = 5 + 5p Solving 13 + p = 5 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 13 + p + -5p = 5 + 5p + -5p Combine like terms: p + -5p = -4p 13 + -4p = 5 + 5p + -5p Combine like terms: 5p + -5p = 0 13 + -4p = 5 + 0 13 + -4p = 5 Add '-13' to each side of the equation. 13 + -13 + -4p = 5 + -13 Combine like terms: 13 + -13 = 0 0 + -4p = 5 + -13 -4p = 5 + -13 Combine like terms: 5 + -13 = -8 -4p = -8 Divide each side by '-4'. p = 2 Simplifying p = 2
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