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Simplifying 10p + 2 = 22 + 4p + 12 + -2 Reorder the terms: 2 + 10p = 22 + 4p + 12 + -2 Reorder the terms: 2 + 10p = 22 + 12 + -2 + 4p Combine like terms: 22 + 12 = 34 2 + 10p = 34 + -2 + 4p Combine like terms: 34 + -2 = 32 2 + 10p = 32 + 4p Solving 2 + 10p = 32 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 2 + 10p + -4p = 32 + 4p + -4p Combine like terms: 10p + -4p = 6p 2 + 6p = 32 + 4p + -4p Combine like terms: 4p + -4p = 0 2 + 6p = 32 + 0 2 + 6p = 32 Add '-2' to each side of the equation. 2 + -2 + 6p = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 6p = 32 + -2 6p = 32 + -2 Combine like terms: 32 + -2 = 30 6p = 30 Divide each side by '6'. p = 5 Simplifying p = 5
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