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Simplifying 3 + 19p + -2 = 8p + 113 + -5p Reorder the terms: 3 + -2 + 19p = 8p + 113 + -5p Combine like terms: 3 + -2 = 1 1 + 19p = 8p + 113 + -5p Reorder the terms: 1 + 19p = 113 + 8p + -5p Combine like terms: 8p + -5p = 3p 1 + 19p = 113 + 3p Solving 1 + 19p = 113 + 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. 1 + 19p + -3p = 113 + 3p + -3p Combine like terms: 19p + -3p = 16p 1 + 16p = 113 + 3p + -3p Combine like terms: 3p + -3p = 0 1 + 16p = 113 + 0 1 + 16p = 113 Add '-1' to each side of the equation. 1 + -1 + 16p = 113 + -1 Combine like terms: 1 + -1 = 0 0 + 16p = 113 + -1 16p = 113 + -1 Combine like terms: 113 + -1 = 112 16p = 112 Divide each side by '16'. p = 7 Simplifying p = 7
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