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Simplifying 17 + -5 + p = 2(5p + -16) Combine like terms: 17 + -5 = 12 12 + p = 2(5p + -16) Reorder the terms: 12 + p = 2(-16 + 5p) 12 + p = (-16 * 2 + 5p * 2) 12 + p = (-32 + 10p) Solving 12 + p = -32 + 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. 12 + p + -10p = -32 + 10p + -10p Combine like terms: p + -10p = -9p 12 + -9p = -32 + 10p + -10p Combine like terms: 10p + -10p = 0 12 + -9p = -32 + 0 12 + -9p = -32 Add '-12' to each side of the equation. 12 + -12 + -9p = -32 + -12 Combine like terms: 12 + -12 = 0 0 + -9p = -32 + -12 -9p = -32 + -12 Combine like terms: -32 + -12 = -44 -9p = -44 Divide each side by '-9'. p = 4.888888889 Simplifying p = 4.888888889
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