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Simplifying 7 + 2p = 5p + 12 Reorder the terms: 7 + 2p = 12 + 5p Solving 7 + 2p = 12 + 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. 7 + 2p + -5p = 12 + 5p + -5p Combine like terms: 2p + -5p = -3p 7 + -3p = 12 + 5p + -5p Combine like terms: 5p + -5p = 0 7 + -3p = 12 + 0 7 + -3p = 12 Add '-7' to each side of the equation. 7 + -7 + -3p = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -3p = 12 + -7 -3p = 12 + -7 Combine like terms: 12 + -7 = 5 -3p = 5 Divide each side by '-3'. p = -1.666666667 Simplifying p = -1.666666667
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