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Simplifying -4(5p + 3) + -32 = 2(2p + 2) Reorder the terms: -4(3 + 5p) + -32 = 2(2p + 2) (3 * -4 + 5p * -4) + -32 = 2(2p + 2) (-12 + -20p) + -32 = 2(2p + 2) Reorder the terms: -12 + -32 + -20p = 2(2p + 2) Combine like terms: -12 + -32 = -44 -44 + -20p = 2(2p + 2) Reorder the terms: -44 + -20p = 2(2 + 2p) -44 + -20p = (2 * 2 + 2p * 2) -44 + -20p = (4 + 4p) Solving -44 + -20p = 4 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -44 + -20p + -4p = 4 + 4p + -4p Combine like terms: -20p + -4p = -24p -44 + -24p = 4 + 4p + -4p Combine like terms: 4p + -4p = 0 -44 + -24p = 4 + 0 -44 + -24p = 4 Add '44' to each side of the equation. -44 + 44 + -24p = 4 + 44 Combine like terms: -44 + 44 = 0 0 + -24p = 4 + 44 -24p = 4 + 44 Combine like terms: 4 + 44 = 48 -24p = 48 Divide each side by '-24'. p = -2 Simplifying p = -2
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