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Simplifying p + -32 = -5(p + 2) + -5p Reorder the terms: -32 + p = -5(p + 2) + -5p Reorder the terms: -32 + p = -5(2 + p) + -5p -32 + p = (2 * -5 + p * -5) + -5p -32 + p = (-10 + -5p) + -5p Combine like terms: -5p + -5p = -10p -32 + p = -10 + -10p Solving -32 + p = -10 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. -32 + p + 10p = -10 + -10p + 10p Combine like terms: p + 10p = 11p -32 + 11p = -10 + -10p + 10p Combine like terms: -10p + 10p = 0 -32 + 11p = -10 + 0 -32 + 11p = -10 Add '32' to each side of the equation. -32 + 32 + 11p = -10 + 32 Combine like terms: -32 + 32 = 0 0 + 11p = -10 + 32 11p = -10 + 32 Combine like terms: -10 + 32 = 22 11p = 22 Divide each side by '11'. p = 2 Simplifying p = 2
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