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Simplifying 17(5 + -1p) = 2(5p + -16) (5 * 17 + -1p * 17) = 2(5p + -16) (85 + -17p) = 2(5p + -16) Reorder the terms: 85 + -17p = 2(-16 + 5p) 85 + -17p = (-16 * 2 + 5p * 2) 85 + -17p = (-32 + 10p) Solving 85 + -17p = -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. 85 + -17p + -10p = -32 + 10p + -10p Combine like terms: -17p + -10p = -27p 85 + -27p = -32 + 10p + -10p Combine like terms: 10p + -10p = 0 85 + -27p = -32 + 0 85 + -27p = -32 Add '-85' to each side of the equation. 85 + -85 + -27p = -32 + -85 Combine like terms: 85 + -85 = 0 0 + -27p = -32 + -85 -27p = -32 + -85 Combine like terms: -32 + -85 = -117 -27p = -117 Divide each side by '-27'. p = 4.333333333 Simplifying p = 4.333333333
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