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Simplifying -4(2p + 3) + -32 = 2(4p + 2) Reorder the terms: -4(3 + 2p) + -32 = 2(4p + 2) (3 * -4 + 2p * -4) + -32 = 2(4p + 2) (-12 + -8p) + -32 = 2(4p + 2) Reorder the terms: -12 + -32 + -8p = 2(4p + 2) Combine like terms: -12 + -32 = -44 -44 + -8p = 2(4p + 2) Reorder the terms: -44 + -8p = 2(2 + 4p) -44 + -8p = (2 * 2 + 4p * 2) -44 + -8p = (4 + 8p) Solving -44 + -8p = 4 + 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. -44 + -8p + -8p = 4 + 8p + -8p Combine like terms: -8p + -8p = -16p -44 + -16p = 4 + 8p + -8p Combine like terms: 8p + -8p = 0 -44 + -16p = 4 + 0 -44 + -16p = 4 Add '44' to each side of the equation. -44 + 44 + -16p = 4 + 44 Combine like terms: -44 + 44 = 0 0 + -16p = 4 + 44 -16p = 4 + 44 Combine like terms: 4 + 44 = 48 -16p = 48 Divide each side by '-16'. p = -3 Simplifying p = -3
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