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Simplifying 16p + -1(5p + 6) = -8 + -2(1p + 12) Reorder the terms: 16p + -1(6 + 5p) = -8 + -2(1p + 12) 16p + (6 * -1 + 5p * -1) = -8 + -2(1p + 12) 16p + (-6 + -5p) = -8 + -2(1p + 12) Reorder the terms: -6 + 16p + -5p = -8 + -2(1p + 12) Combine like terms: 16p + -5p = 11p -6 + 11p = -8 + -2(1p + 12) Reorder the terms: -6 + 11p = -8 + -2(12 + 1p) -6 + 11p = -8 + (12 * -2 + 1p * -2) -6 + 11p = -8 + (-24 + -2p) Combine like terms: -8 + -24 = -32 -6 + 11p = -32 + -2p Solving -6 + 11p = -32 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -6 + 11p + 2p = -32 + -2p + 2p Combine like terms: 11p + 2p = 13p -6 + 13p = -32 + -2p + 2p Combine like terms: -2p + 2p = 0 -6 + 13p = -32 + 0 -6 + 13p = -32 Add '6' to each side of the equation. -6 + 6 + 13p = -32 + 6 Combine like terms: -6 + 6 = 0 0 + 13p = -32 + 6 13p = -32 + 6 Combine like terms: -32 + 6 = -26 13p = -26 Divide each side by '13'. p = -2 Simplifying p = -2
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