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Simplifying 8p + -1 = 5p + -1 + 30 Reorder the terms: -1 + 8p = 5p + -1 + 30 Reorder the terms: -1 + 8p = -1 + 30 + 5p Combine like terms: -1 + 30 = 29 -1 + 8p = 29 + 5p Solving -1 + 8p = 29 + 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 + 8p + -5p = 29 + 5p + -5p Combine like terms: 8p + -5p = 3p -1 + 3p = 29 + 5p + -5p Combine like terms: 5p + -5p = 0 -1 + 3p = 29 + 0 -1 + 3p = 29 Add '1' to each side of the equation. -1 + 1 + 3p = 29 + 1 Combine like terms: -1 + 1 = 0 0 + 3p = 29 + 1 3p = 29 + 1 Combine like terms: 29 + 1 = 30 3p = 30 Divide each side by '3'. p = 10 Simplifying p = 10
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