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Simplifying 8p + 3p + -12 = 4p + p Reorder the terms: -12 + 8p + 3p = 4p + p Combine like terms: 8p + 3p = 11p -12 + 11p = 4p + p Combine like terms: 4p + p = 5p -12 + 11p = 5p Solving -12 + 11p = 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. -12 + 11p + -5p = 5p + -5p Combine like terms: 11p + -5p = 6p -12 + 6p = 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 6p = 0 Add '12' to each side of the equation. -12 + 12 + 6p = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6p = 0 + 12 6p = 0 + 12 Combine like terms: 0 + 12 = 12 6p = 12 Divide each side by '6'. p = 2 Simplifying p = 2
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