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Simplifying (14p + 6) + -1(12p + 8) = 0 Reorder the terms: (6 + 14p) + -1(12p + 8) = 0 Remove parenthesis around (6 + 14p) 6 + 14p + -1(12p + 8) = 0 Reorder the terms: 6 + 14p + -1(8 + 12p) = 0 6 + 14p + (8 * -1 + 12p * -1) = 0 6 + 14p + (-8 + -12p) = 0 Reorder the terms: 6 + -8 + 14p + -12p = 0 Combine like terms: 6 + -8 = -2 -2 + 14p + -12p = 0 Combine like terms: 14p + -12p = 2p -2 + 2p = 0 Solving -2 + 2p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2p = 0 + 2 2p = 0 + 2 Combine like terms: 0 + 2 = 2 2p = 2 Divide each side by '2'. p = 1 Simplifying p = 1
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