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Simplifying 6p + 5(p + 6) = 4(8 + 6p) + -11p Reorder the terms: 6p + 5(6 + p) = 4(8 + 6p) + -11p 6p + (6 * 5 + p * 5) = 4(8 + 6p) + -11p 6p + (30 + 5p) = 4(8 + 6p) + -11p Reorder the terms: 30 + 6p + 5p = 4(8 + 6p) + -11p Combine like terms: 6p + 5p = 11p 30 + 11p = 4(8 + 6p) + -11p 30 + 11p = (8 * 4 + 6p * 4) + -11p 30 + 11p = (32 + 24p) + -11p Combine like terms: 24p + -11p = 13p 30 + 11p = 32 + 13p Solving 30 + 11p = 32 + 13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13p' to each side of the equation. 30 + 11p + -13p = 32 + 13p + -13p Combine like terms: 11p + -13p = -2p 30 + -2p = 32 + 13p + -13p Combine like terms: 13p + -13p = 0 30 + -2p = 32 + 0 30 + -2p = 32 Add '-30' to each side of the equation. 30 + -30 + -2p = 32 + -30 Combine like terms: 30 + -30 = 0 0 + -2p = 32 + -30 -2p = 32 + -30 Combine like terms: 32 + -30 = 2 -2p = 2 Divide each side by '-2'. p = -1 Simplifying p = -1
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