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Simplifying -4(2p + 4) + -38 = 3(4p + 2) Reorder the terms: -4(4 + 2p) + -38 = 3(4p + 2) (4 * -4 + 2p * -4) + -38 = 3(4p + 2) (-16 + -8p) + -38 = 3(4p + 2) Reorder the terms: -16 + -38 + -8p = 3(4p + 2) Combine like terms: -16 + -38 = -54 -54 + -8p = 3(4p + 2) Reorder the terms: -54 + -8p = 3(2 + 4p) -54 + -8p = (2 * 3 + 4p * 3) -54 + -8p = (6 + 12p) Solving -54 + -8p = 6 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -54 + -8p + -12p = 6 + 12p + -12p Combine like terms: -8p + -12p = -20p -54 + -20p = 6 + 12p + -12p Combine like terms: 12p + -12p = 0 -54 + -20p = 6 + 0 -54 + -20p = 6 Add '54' to each side of the equation. -54 + 54 + -20p = 6 + 54 Combine like terms: -54 + 54 = 0 0 + -20p = 6 + 54 -20p = 6 + 54 Combine like terms: 6 + 54 = 60 -20p = 60 Divide each side by '-20'. p = -3 Simplifying p = -3
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