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Simplifying 2p + 4p + 5 = 12p + -3 Reorder the terms: 5 + 2p + 4p = 12p + -3 Combine like terms: 2p + 4p = 6p 5 + 6p = 12p + -3 Reorder the terms: 5 + 6p = -3 + 12p Solving 5 + 6p = -3 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 5 + 6p + -12p = -3 + 12p + -12p Combine like terms: 6p + -12p = -6p 5 + -6p = -3 + 12p + -12p Combine like terms: 12p + -12p = 0 5 + -6p = -3 + 0 5 + -6p = -3 Add '-5' to each side of the equation. 5 + -5 + -6p = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -6p = -3 + -5 -6p = -3 + -5 Combine like terms: -3 + -5 = -8 -6p = -8 Divide each side by '-6'. p = 1.333333333 Simplifying p = 1.333333333
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