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