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Simplifying (6p + -24) = 18 + 3p Reorder the terms: (-24 + 6p) = 18 + 3p Remove parenthesis around (-24 + 6p) -24 + 6p = 18 + 3p Solving -24 + 6p = 18 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -24 + 6p + -3p = 18 + 3p + -3p Combine like terms: 6p + -3p = 3p -24 + 3p = 18 + 3p + -3p Combine like terms: 3p + -3p = 0 -24 + 3p = 18 + 0 -24 + 3p = 18 Add '24' to each side of the equation. -24 + 24 + 3p = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 3p = 18 + 24 3p = 18 + 24 Combine like terms: 18 + 24 = 42 3p = 42 Divide each side by '3'. p = 14 Simplifying p = 14
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