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Simplifying (12p + 8) = (14p + -4p) Reorder the terms: (8 + 12p) = (14p + -4p) Remove parenthesis around (8 + 12p) 8 + 12p = (14p + -4p) Combine like terms: 14p + -4p = 10p 8 + 12p = (10p) 8 + 12p = (10p) Solving 8 + 12p = (10p) Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '(-10p)' to each side of the equation. 8 + 12p + (-10p) = (10p) + (-10p) Combine like terms: 12p + (-10p) = 2p 8 + 2p = (10p) + (-10p) Combine like terms: (10p) + (-10p) = 0 8 + 2p = 0 Add '-8' to each side of the equation. 8 + -8 + 2p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2p = 0 + -8 2p = 0 + -8 Combine like terms: 0 + -8 = -8 2p = -8 Divide each side by '2'. p = -4 Simplifying p = -4
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