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Simplifying p + -1 = 5p + 30 + -8 Reorder the terms: -1 + p = 5p + 30 + -8 Reorder the terms: -1 + p = 30 + -8 + 5p Combine like terms: 30 + -8 = 22 -1 + p = 22 + 5p Solving -1 + p = 22 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -1 + p + -5p = 22 + 5p + -5p Combine like terms: p + -5p = -4p -1 + -4p = 22 + 5p + -5p Combine like terms: 5p + -5p = 0 -1 + -4p = 22 + 0 -1 + -4p = 22 Add '1' to each side of the equation. -1 + 1 + -4p = 22 + 1 Combine like terms: -1 + 1 = 0 0 + -4p = 22 + 1 -4p = 22 + 1 Combine like terms: 22 + 1 = 23 -4p = 23 Divide each side by '-4'. p = -5.75 Simplifying p = -5.75
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