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Simplifying 12p + 14p + -3 = 1 + 2p + 1 Reorder the terms: -3 + 12p + 14p = 1 + 2p + 1 Combine like terms: 12p + 14p = 26p -3 + 26p = 1 + 2p + 1 Reorder the terms: -3 + 26p = 1 + 1 + 2p Combine like terms: 1 + 1 = 2 -3 + 26p = 2 + 2p Solving -3 + 26p = 2 + 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. -3 + 26p + -2p = 2 + 2p + -2p Combine like terms: 26p + -2p = 24p -3 + 24p = 2 + 2p + -2p Combine like terms: 2p + -2p = 0 -3 + 24p = 2 + 0 -3 + 24p = 2 Add '3' to each side of the equation. -3 + 3 + 24p = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 24p = 2 + 3 24p = 2 + 3 Combine like terms: 2 + 3 = 5 24p = 5 Divide each side by '24'. p = 0.2083333333 Simplifying p = 0.2083333333
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