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Simplifying 12p + -13 + -7 = 3p + -6 + 2p Reorder the terms: -13 + -7 + 12p = 3p + -6 + 2p Combine like terms: -13 + -7 = -20 -20 + 12p = 3p + -6 + 2p Reorder the terms: -20 + 12p = -6 + 3p + 2p Combine like terms: 3p + 2p = 5p -20 + 12p = -6 + 5p Solving -20 + 12p = -6 + 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. -20 + 12p + -5p = -6 + 5p + -5p Combine like terms: 12p + -5p = 7p -20 + 7p = -6 + 5p + -5p Combine like terms: 5p + -5p = 0 -20 + 7p = -6 + 0 -20 + 7p = -6 Add '20' to each side of the equation. -20 + 20 + 7p = -6 + 20 Combine like terms: -20 + 20 = 0 0 + 7p = -6 + 20 7p = -6 + 20 Combine like terms: -6 + 20 = 14 7p = 14 Divide each side by '7'. p = 2 Simplifying p = 2
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