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Simplifying 3p + 7 = -4(4 + -6p) + 2 Reorder the terms: 7 + 3p = -4(4 + -6p) + 2 7 + 3p = (4 * -4 + -6p * -4) + 2 7 + 3p = (-16 + 24p) + 2 Reorder the terms: 7 + 3p = -16 + 2 + 24p Combine like terms: -16 + 2 = -14 7 + 3p = -14 + 24p Solving 7 + 3p = -14 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 7 + 3p + -24p = -14 + 24p + -24p Combine like terms: 3p + -24p = -21p 7 + -21p = -14 + 24p + -24p Combine like terms: 24p + -24p = 0 7 + -21p = -14 + 0 7 + -21p = -14 Add '-7' to each side of the equation. 7 + -7 + -21p = -14 + -7 Combine like terms: 7 + -7 = 0 0 + -21p = -14 + -7 -21p = -14 + -7 Combine like terms: -14 + -7 = -21 -21p = -21 Divide each side by '-21'. p = 1 Simplifying p = 1
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