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Simplifying 10p + 8 = 7p + 12 Reorder the terms: 8 + 10p = 7p + 12 Reorder the terms: 8 + 10p = 12 + 7p Solving 8 + 10p = 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. 8 + 10p + -7p = 12 + 7p + -7p Combine like terms: 10p + -7p = 3p 8 + 3p = 12 + 7p + -7p Combine like terms: 7p + -7p = 0 8 + 3p = 12 + 0 8 + 3p = 12 Add '-8' to each side of the equation. 8 + -8 + 3p = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 3p = 12 + -8 3p = 12 + -8 Combine like terms: 12 + -8 = 4 3p = 4 Divide each side by '3'. p = 1.333333333 Simplifying p = 1.333333333
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