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Simplifying 5p + 10 = 8p + 1 Reorder the terms: 10 + 5p = 8p + 1 Reorder the terms: 10 + 5p = 1 + 8p Solving 10 + 5p = 1 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 10 + 5p + -8p = 1 + 8p + -8p Combine like terms: 5p + -8p = -3p 10 + -3p = 1 + 8p + -8p Combine like terms: 8p + -8p = 0 10 + -3p = 1 + 0 10 + -3p = 1 Add '-10' to each side of the equation. 10 + -10 + -3p = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -3p = 1 + -10 -3p = 1 + -10 Combine like terms: 1 + -10 = -9 -3p = -9 Divide each side by '-3'. p = 3 Simplifying p = 3
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