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Simplifying -4(3p + 3) + -32 = 5(4p + 4) Reorder the terms: -4(3 + 3p) + -32 = 5(4p + 4) (3 * -4 + 3p * -4) + -32 = 5(4p + 4) (-12 + -12p) + -32 = 5(4p + 4) Reorder the terms: -12 + -32 + -12p = 5(4p + 4) Combine like terms: -12 + -32 = -44 -44 + -12p = 5(4p + 4) Reorder the terms: -44 + -12p = 5(4 + 4p) -44 + -12p = (4 * 5 + 4p * 5) -44 + -12p = (20 + 20p) Solving -44 + -12p = 20 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -44 + -12p + -20p = 20 + 20p + -20p Combine like terms: -12p + -20p = -32p -44 + -32p = 20 + 20p + -20p Combine like terms: 20p + -20p = 0 -44 + -32p = 20 + 0 -44 + -32p = 20 Add '44' to each side of the equation. -44 + 44 + -32p = 20 + 44 Combine like terms: -44 + 44 = 0 0 + -32p = 20 + 44 -32p = 20 + 44 Combine like terms: 20 + 44 = 64 -32p = 64 Divide each side by '-32'. p = -2 Simplifying p = -2
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