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Simplifying 4(2p + 1) + -12p = (8p + 12) Reorder the terms: 4(1 + 2p) + -12p = (8p + 12) (1 * 4 + 2p * 4) + -12p = (8p + 12) (4 + 8p) + -12p = (8p + 12) Combine like terms: 8p + -12p = -4p 4 + -4p = (8p + 12) Reorder the terms: 4 + -4p = (12 + 8p) Remove parenthesis around (12 + 8p) 4 + -4p = 12 + 8p Solving 4 + -4p = 12 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 4 + -4p + -8p = 12 + 8p + -8p Combine like terms: -4p + -8p = -12p 4 + -12p = 12 + 8p + -8p Combine like terms: 8p + -8p = 0 4 + -12p = 12 + 0 4 + -12p = 12 Add '-4' to each side of the equation. 4 + -4 + -12p = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -12p = 12 + -4 -12p = 12 + -4 Combine like terms: 12 + -4 = 8 -12p = 8 Divide each side by '-12'. p = -0.6666666667 Simplifying p = -0.6666666667
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