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Simplifying 2p + 10 + 3p + -6 = 2p + 12 Reorder the terms: 10 + -6 + 2p + 3p = 2p + 12 Combine like terms: 10 + -6 = 4 4 + 2p + 3p = 2p + 12 Combine like terms: 2p + 3p = 5p 4 + 5p = 2p + 12 Reorder the terms: 4 + 5p = 12 + 2p Solving 4 + 5p = 12 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 4 + 5p + -2p = 12 + 2p + -2p Combine like terms: 5p + -2p = 3p 4 + 3p = 12 + 2p + -2p Combine like terms: 2p + -2p = 0 4 + 3p = 12 + 0 4 + 3p = 12 Add '-4' to each side of the equation. 4 + -4 + 3p = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 3p = 12 + -4 3p = 12 + -4 Combine like terms: 12 + -4 = 8 3p = 8 Divide each side by '3'. p = 2.666666667 Simplifying p = 2.666666667
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