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Simplifying 6p + 1 = 15 + 1 + 8p + -5p Reorder the terms: 1 + 6p = 15 + 1 + 8p + -5p Combine like terms: 15 + 1 = 16 1 + 6p = 16 + 8p + -5p Combine like terms: 8p + -5p = 3p 1 + 6p = 16 + 3p Solving 1 + 6p = 16 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 1 + 6p + -3p = 16 + 3p + -3p Combine like terms: 6p + -3p = 3p 1 + 3p = 16 + 3p + -3p Combine like terms: 3p + -3p = 0 1 + 3p = 16 + 0 1 + 3p = 16 Add '-1' to each side of the equation. 1 + -1 + 3p = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 3p = 16 + -1 3p = 16 + -1 Combine like terms: 16 + -1 = 15 3p = 15 Divide each side by '3'. p = 5 Simplifying p = 5
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