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Simplifying 64 = -4(p + 2) + -4(5p + 6) Reorder the terms: 64 = -4(2 + p) + -4(5p + 6) 64 = (2 * -4 + p * -4) + -4(5p + 6) 64 = (-8 + -4p) + -4(5p + 6) Reorder the terms: 64 = -8 + -4p + -4(6 + 5p) 64 = -8 + -4p + (6 * -4 + 5p * -4) 64 = -8 + -4p + (-24 + -20p) Reorder the terms: 64 = -8 + -24 + -4p + -20p Combine like terms: -8 + -24 = -32 64 = -32 + -4p + -20p Combine like terms: -4p + -20p = -24p 64 = -32 + -24p Solving 64 = -32 + -24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24p' to each side of the equation. 64 + 24p = -32 + -24p + 24p Combine like terms: -24p + 24p = 0 64 + 24p = -32 + 0 64 + 24p = -32 Add '-64' to each side of the equation. 64 + -64 + 24p = -32 + -64 Combine like terms: 64 + -64 = 0 0 + 24p = -32 + -64 24p = -32 + -64 Combine like terms: -32 + -64 = -96 24p = -96 Divide each side by '24'. p = -4 Simplifying p = -4
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