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Simplifying 8 = 2 + -3(p + 2) Reorder the terms: 8 = 2 + -3(2 + p) 8 = 2 + (2 * -3 + p * -3) 8 = 2 + (-6 + -3p) Combine like terms: 2 + -6 = -4 8 = -4 + -3p Solving 8 = -4 + -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. 8 + 3p = -4 + -3p + 3p Combine like terms: -3p + 3p = 0 8 + 3p = -4 + 0 8 + 3p = -4 Add '-8' to each side of the equation. 8 + -8 + 3p = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 3p = -4 + -8 3p = -4 + -8 Combine like terms: -4 + -8 = -12 3p = -12 Divide each side by '3'. p = -4 Simplifying p = -4
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