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Simplifying -6p + 12 + -17p = -20 + -19p Reorder the terms: 12 + -6p + -17p = -20 + -19p Combine like terms: -6p + -17p = -23p 12 + -23p = -20 + -19p Solving 12 + -23p = -20 + -19p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '19p' to each side of the equation. 12 + -23p + 19p = -20 + -19p + 19p Combine like terms: -23p + 19p = -4p 12 + -4p = -20 + -19p + 19p Combine like terms: -19p + 19p = 0 12 + -4p = -20 + 0 12 + -4p = -20 Add '-12' to each side of the equation. 12 + -12 + -4p = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -4p = -20 + -12 -4p = -20 + -12 Combine like terms: -20 + -12 = -32 -4p = -32 Divide each side by '-4'. p = 8 Simplifying p = 8
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