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Simplifying p + 24 = 7p + 12 Reorder the terms: 24 + p = 7p + 12 Reorder the terms: 24 + p = 12 + 7p Solving 24 + p = 12 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 24 + p + -7p = 12 + 7p + -7p Combine like terms: p + -7p = -6p 24 + -6p = 12 + 7p + -7p Combine like terms: 7p + -7p = 0 24 + -6p = 12 + 0 24 + -6p = 12 Add '-24' to each side of the equation. 24 + -24 + -6p = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -6p = 12 + -24 -6p = 12 + -24 Combine like terms: 12 + -24 = -12 -6p = -12 Divide each side by '-6'. p = 2 Simplifying p = 2
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