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Simplifying -6p + -1(5p + 5) = -8 + -2(p + 12) Reorder the terms: -6p + -1(5 + 5p) = -8 + -2(p + 12) -6p + (5 * -1 + 5p * -1) = -8 + -2(p + 12) -6p + (-5 + -5p) = -8 + -2(p + 12) Reorder the terms: -5 + -6p + -5p = -8 + -2(p + 12) Combine like terms: -6p + -5p = -11p -5 + -11p = -8 + -2(p + 12) Reorder the terms: -5 + -11p = -8 + -2(12 + p) -5 + -11p = -8 + (12 * -2 + p * -2) -5 + -11p = -8 + (-24 + -2p) Combine like terms: -8 + -24 = -32 -5 + -11p = -32 + -2p Solving -5 + -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. -5 + -11p + 2p = -32 + -2p + 2p Combine like terms: -11p + 2p = -9p -5 + -9p = -32 + -2p + 2p Combine like terms: -2p + 2p = 0 -5 + -9p = -32 + 0 -5 + -9p = -32 Add '5' to each side of the equation. -5 + 5 + -9p = -32 + 5 Combine like terms: -5 + 5 = 0 0 + -9p = -32 + 5 -9p = -32 + 5 Combine like terms: -32 + 5 = -27 -9p = -27 Divide each side by '-9'. p = 3 Simplifying p = 3
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