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Simplifying 4(3p + p + 2p) + -12p + p = 2(8p + 6) Combine like terms: 3p + p = 4p 4(4p + 2p) + -12p + p = 2(8p + 6) Combine like terms: 4p + 2p = 6p 4(6p) + -12p + p = 2(8p + 6) Remove parenthesis around (6p) 4 * 6p + -12p + p = 2(8p + 6) Multiply 4 * 6 24p + -12p + p = 2(8p + 6) Combine like terms: 24p + -12p = 12p 12p + p = 2(8p + 6) Combine like terms: 12p + p = 13p 13p = 2(8p + 6) Reorder the terms: 13p = 2(6 + 8p) 13p = (6 * 2 + 8p * 2) 13p = (12 + 16p) Solving 13p = 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. 13p + -16p = 12 + 16p + -16p Combine like terms: 13p + -16p = -3p -3p = 12 + 16p + -16p Combine like terms: 16p + -16p = 0 -3p = 12 + 0 -3p = 12 Divide each side by '-3'. p = -4 Simplifying p = -4
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