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Simplifying -3 + -12p = 1 + -4(-8 + 6p) -3 + -12p = 1 + (-8 * -4 + 6p * -4) -3 + -12p = 1 + (32 + -24p) Combine like terms: 1 + 32 = 33 -3 + -12p = 33 + -24p Solving -3 + -12p = 33 + -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. -3 + -12p + 24p = 33 + -24p + 24p Combine like terms: -12p + 24p = 12p -3 + 12p = 33 + -24p + 24p Combine like terms: -24p + 24p = 0 -3 + 12p = 33 + 0 -3 + 12p = 33 Add '3' to each side of the equation. -3 + 3 + 12p = 33 + 3 Combine like terms: -3 + 3 = 0 0 + 12p = 33 + 3 12p = 33 + 3 Combine like terms: 33 + 3 = 36 12p = 36 Divide each side by '12'. p = 3 Simplifying p = 3
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