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Simplifying 24p + -18 = 2(6p + 15) Reorder the terms: -18 + 24p = 2(6p + 15) Reorder the terms: -18 + 24p = 2(15 + 6p) -18 + 24p = (15 * 2 + 6p * 2) -18 + 24p = (30 + 12p) Solving -18 + 24p = 30 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -18 + 24p + -12p = 30 + 12p + -12p Combine like terms: 24p + -12p = 12p -18 + 12p = 30 + 12p + -12p Combine like terms: 12p + -12p = 0 -18 + 12p = 30 + 0 -18 + 12p = 30 Add '18' to each side of the equation. -18 + 18 + 12p = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 12p = 30 + 18 12p = 30 + 18 Combine like terms: 30 + 18 = 48 12p = 48 Divide each side by '12'. p = 4 Simplifying p = 4
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