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Simplifying 4(3p + 2p) + -12p = 2(8p + 6) Combine like terms: 3p + 2p = 5p 4(5p) + -12p = 2(8p + 6) Remove parenthesis around (5p) 4 * 5p + -12p = 2(8p + 6) Multiply 4 * 5 20p + -12p = 2(8p + 6) Combine like terms: 20p + -12p = 8p 8p = 2(8p + 6) Reorder the terms: 8p = 2(6 + 8p) 8p = (6 * 2 + 8p * 2) 8p = (12 + 16p) Solving 8p = 12 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. 8p + -16p = 12 + 16p + -16p Combine like terms: 8p + -16p = -8p -8p = 12 + 16p + -16p Combine like terms: 16p + -16p = 0 -8p = 12 + 0 -8p = 12 Divide each side by '-8'. p = -1.5 Simplifying p = -1.5
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