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Simplifying -1(6 + -8p) + 7 = 10 + 5p (6 * -1 + -8p * -1) + 7 = 10 + 5p (-6 + 8p) + 7 = 10 + 5p Reorder the terms: -6 + 7 + 8p = 10 + 5p Combine like terms: -6 + 7 = 1 1 + 8p = 10 + 5p Solving 1 + 8p = 10 + 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 = 10 + 5p + -5p Combine like terms: 8p + -5p = 3p 1 + 3p = 10 + 5p + -5p Combine like terms: 5p + -5p = 0 1 + 3p = 10 + 0 1 + 3p = 10 Add '-1' to each side of the equation. 1 + -1 + 3p = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 3p = 10 + -1 3p = 10 + -1 Combine like terms: 10 + -1 = 9 3p = 9 Divide each side by '3'. p = 3 Simplifying p = 3
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