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Simplifying 4(8p + -4) + 8(6 + -1p) = 0 Reorder the terms: 4(-4 + 8p) + 8(6 + -1p) = 0 (-4 * 4 + 8p * 4) + 8(6 + -1p) = 0 (-16 + 32p) + 8(6 + -1p) = 0 -16 + 32p + (6 * 8 + -1p * 8) = 0 -16 + 32p + (48 + -8p) = 0 Reorder the terms: -16 + 48 + 32p + -8p = 0 Combine like terms: -16 + 48 = 32 32 + 32p + -8p = 0 Combine like terms: 32p + -8p = 24p 32 + 24p = 0 Solving 32 + 24p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 24p = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 24p = 0 + -32 24p = 0 + -32 Combine like terms: 0 + -32 = -32 24p = -32 Divide each side by '24'. p = -1.333333333 Simplifying p = -1.333333333
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