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Simplifying 12 + 6p = -7(4p + 8) Reorder the terms: 12 + 6p = -7(8 + 4p) 12 + 6p = (8 * -7 + 4p * -7) 12 + 6p = (-56 + -28p) Solving 12 + 6p = -56 + -28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '28p' to each side of the equation. 12 + 6p + 28p = -56 + -28p + 28p Combine like terms: 6p + 28p = 34p 12 + 34p = -56 + -28p + 28p Combine like terms: -28p + 28p = 0 12 + 34p = -56 + 0 12 + 34p = -56 Add '-12' to each side of the equation. 12 + -12 + 34p = -56 + -12 Combine like terms: 12 + -12 = 0 0 + 34p = -56 + -12 34p = -56 + -12 Combine like terms: -56 + -12 = -68 34p = -68 Divide each side by '34'. p = -2 Simplifying p = -2
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