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Simplifying 8p + 5 = -3(p + 2) Reorder the terms: 5 + 8p = -3(p + 2) Reorder the terms: 5 + 8p = -3(2 + p) 5 + 8p = (2 * -3 + p * -3) 5 + 8p = (-6 + -3p) Solving 5 + 8p = -6 + -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. 5 + 8p + 3p = -6 + -3p + 3p Combine like terms: 8p + 3p = 11p 5 + 11p = -6 + -3p + 3p Combine like terms: -3p + 3p = 0 5 + 11p = -6 + 0 5 + 11p = -6 Add '-5' to each side of the equation. 5 + -5 + 11p = -6 + -5 Combine like terms: 5 + -5 = 0 0 + 11p = -6 + -5 11p = -6 + -5 Combine like terms: -6 + -5 = -11 11p = -11 Divide each side by '11'. p = -1 Simplifying p = -1
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