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Simplifying 16 + p + -32 = -10p + 32 + -1p Reorder the terms: 16 + -32 + p = -10p + 32 + -1p Combine like terms: 16 + -32 = -16 -16 + p = -10p + 32 + -1p Reorder the terms: -16 + p = 32 + -10p + -1p Combine like terms: -10p + -1p = -11p -16 + p = 32 + -11p Solving -16 + p = 32 + -11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '11p' to each side of the equation. -16 + p + 11p = 32 + -11p + 11p Combine like terms: p + 11p = 12p -16 + 12p = 32 + -11p + 11p Combine like terms: -11p + 11p = 0 -16 + 12p = 32 + 0 -16 + 12p = 32 Add '16' to each side of the equation. -16 + 16 + 12p = 32 + 16 Combine like terms: -16 + 16 = 0 0 + 12p = 32 + 16 12p = 32 + 16 Combine like terms: 32 + 16 = 48 12p = 48 Divide each side by '12'. p = 4 Simplifying p = 4
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