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Simplifying -3p + 8 = 5 + -1(7p + 2) Reorder the terms: 8 + -3p = 5 + -1(7p + 2) Reorder the terms: 8 + -3p = 5 + -1(2 + 7p) 8 + -3p = 5 + (2 * -1 + 7p * -1) 8 + -3p = 5 + (-2 + -7p) Combine like terms: 5 + -2 = 3 8 + -3p = 3 + -7p Solving 8 + -3p = 3 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 8 + -3p + 7p = 3 + -7p + 7p Combine like terms: -3p + 7p = 4p 8 + 4p = 3 + -7p + 7p Combine like terms: -7p + 7p = 0 8 + 4p = 3 + 0 8 + 4p = 3 Add '-8' to each side of the equation. 8 + -8 + 4p = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 4p = 3 + -8 4p = 3 + -8 Combine like terms: 3 + -8 = -5 4p = -5 Divide each side by '4'. p = -1.25 Simplifying p = -1.25
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