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