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Simplifying 7 + -1(5 + -1p) = 2(5p + -16) 7 + (5 * -1 + -1p * -1) = 2(5p + -16) 7 + (-5 + 1p) = 2(5p + -16) Combine like terms: 7 + -5 = 2 2 + 1p = 2(5p + -16) Reorder the terms: 2 + 1p = 2(-16 + 5p) 2 + 1p = (-16 * 2 + 5p * 2) 2 + 1p = (-32 + 10p) Solving 2 + 1p = -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. 2 + 1p + -10p = -32 + 10p + -10p Combine like terms: 1p + -10p = -9p 2 + -9p = -32 + 10p + -10p Combine like terms: 10p + -10p = 0 2 + -9p = -32 + 0 2 + -9p = -32 Add '-2' to each side of the equation. 2 + -2 + -9p = -32 + -2 Combine like terms: 2 + -2 = 0 0 + -9p = -32 + -2 -9p = -32 + -2 Combine like terms: -32 + -2 = -34 -9p = -34 Divide each side by '-9'. p = 3.777777778 Simplifying p = 3.777777778
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