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Simplifying -3p + 8 = 5 + -1(8p + 1) Reorder the terms: 8 + -3p = 5 + -1(8p + 1) Reorder the terms: 8 + -3p = 5 + -1(1 + 8p) 8 + -3p = 5 + (1 * -1 + 8p * -1) 8 + -3p = 5 + (-1 + -8p) Combine like terms: 5 + -1 = 4 8 + -3p = 4 + -8p Solving 8 + -3p = 4 + -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. 8 + -3p + 8p = 4 + -8p + 8p Combine like terms: -3p + 8p = 5p 8 + 5p = 4 + -8p + 8p Combine like terms: -8p + 8p = 0 8 + 5p = 4 + 0 8 + 5p = 4 Add '-8' to each side of the equation. 8 + -8 + 5p = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 5p = 4 + -8 5p = 4 + -8 Combine like terms: 4 + -8 = -4 5p = -4 Divide each side by '5'. p = -0.8 Simplifying p = -0.8
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