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Simplifying -54 = -4(3 + 6p) + -6(4p + 7) -54 = (3 * -4 + 6p * -4) + -6(4p + 7) -54 = (-12 + -24p) + -6(4p + 7) Reorder the terms: -54 = -12 + -24p + -6(7 + 4p) -54 = -12 + -24p + (7 * -6 + 4p * -6) -54 = -12 + -24p + (-42 + -24p) Reorder the terms: -54 = -12 + -42 + -24p + -24p Combine like terms: -12 + -42 = -54 -54 = -54 + -24p + -24p Combine like terms: -24p + -24p = -48p -54 = -54 + -48p Add '54' to each side of the equation. -54 + 54 = -54 + 54 + -48p Combine like terms: -54 + 54 = 0 0 = -54 + 54 + -48p Combine like terms: -54 + 54 = 0 0 = 0 + -48p 0 = -48p Solving 0 = -48p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '48p' to each side of the equation. 0 + 48p = -48p + 48p Remove the zero: 48p = -48p + 48p Combine like terms: -48p + 48p = 0 48p = 0 Divide each side by '48'. p = 0 Simplifying p = 0
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