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Simplifying 12 = p + 7 + 4p Reorder the terms: 12 = 7 + p + 4p Combine like terms: p + 4p = 5p 12 = 7 + 5p Solving 12 = 7 + 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 + -5p = 7 + 5p + -5p Combine like terms: 5p + -5p = 0 12 + -5p = 7 + 0 12 + -5p = 7 Add '-12' to each side of the equation. 12 + -12 + -5p = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -5p = 7 + -12 -5p = 7 + -12 Combine like terms: 7 + -12 = -5 -5p = -5 Divide each side by '-5'. p = 1 Simplifying p = 1
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