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Simplifying 6p + (5p + 5) = -8 + -2(p + 12) Reorder the terms: 6p + (5 + 5p) = -8 + -2(p + 12) Remove parenthesis around (5 + 5p) 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 = 13p 5 + 13p = -32 + -2p + 2p Combine like terms: -2p + 2p = 0 5 + 13p = -32 + 0 5 + 13p = -32 Add '-5' to each side of the equation. 5 + -5 + 13p = -32 + -5 Combine like terms: 5 + -5 = 0 0 + 13p = -32 + -5 13p = -32 + -5 Combine like terms: -32 + -5 = -37 13p = -37 Divide each side by '13'. p = -2.846153846 Simplifying p = -2.846153846
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