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Simplifying 8 + 10p + -7 = 8p + 16 + -3p Reorder the terms: 8 + -7 + 10p = 8p + 16 + -3p Combine like terms: 8 + -7 = 1 1 + 10p = 8p + 16 + -3p Reorder the terms: 1 + 10p = 16 + 8p + -3p Combine like terms: 8p + -3p = 5p 1 + 10p = 16 + 5p Solving 1 + 10p = 16 + 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 + 10p + -5p = 16 + 5p + -5p Combine like terms: 10p + -5p = 5p 1 + 5p = 16 + 5p + -5p Combine like terms: 5p + -5p = 0 1 + 5p = 16 + 0 1 + 5p = 16 Add '-1' to each side of the equation. 1 + -1 + 5p = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 5p = 16 + -1 5p = 16 + -1 Combine like terms: 16 + -1 = 15 5p = 15 Divide each side by '5'. p = 3 Simplifying p = 3
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