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Simplifying 3p + 2 = 8 + -3(p + 4) Reorder the terms: 2 + 3p = 8 + -3(p + 4) Reorder the terms: 2 + 3p = 8 + -3(4 + p) 2 + 3p = 8 + (4 * -3 + p * -3) 2 + 3p = 8 + (-12 + -3p) Combine like terms: 8 + -12 = -4 2 + 3p = -4 + -3p Solving 2 + 3p = -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. 2 + 3p + 3p = -4 + -3p + 3p Combine like terms: 3p + 3p = 6p 2 + 6p = -4 + -3p + 3p Combine like terms: -3p + 3p = 0 2 + 6p = -4 + 0 2 + 6p = -4 Add '-2' to each side of the equation. 2 + -2 + 6p = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 6p = -4 + -2 6p = -4 + -2 Combine like terms: -4 + -2 = -6 6p = -6 Divide each side by '6'. p = -1 Simplifying p = -1
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