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Simplifying 18p + 6 = 24p + -42 Reorder the terms: 6 + 18p = 24p + -42 Reorder the terms: 6 + 18p = -42 + 24p Solving 6 + 18p = -42 + 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. 6 + 18p + -24p = -42 + 24p + -24p Combine like terms: 18p + -24p = -6p 6 + -6p = -42 + 24p + -24p Combine like terms: 24p + -24p = 0 6 + -6p = -42 + 0 6 + -6p = -42 Add '-6' to each side of the equation. 6 + -6 + -6p = -42 + -6 Combine like terms: 6 + -6 = 0 0 + -6p = -42 + -6 -6p = -42 + -6 Combine like terms: -42 + -6 = -48 -6p = -48 Divide each side by '-6'. p = 8 Simplifying p = 8
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