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Simplifying 2(3p + 2) = 18 + -1p Reorder the terms: 2(2 + 3p) = 18 + -1p (2 * 2 + 3p * 2) = 18 + -1p (4 + 6p) = 18 + -1p Solving 4 + 6p = 18 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 4 + 6p + p = 18 + -1p + p Combine like terms: 6p + p = 7p 4 + 7p = 18 + -1p + p Combine like terms: -1p + p = 0 4 + 7p = 18 + 0 4 + 7p = 18 Add '-4' to each side of the equation. 4 + -4 + 7p = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 7p = 18 + -4 7p = 18 + -4 Combine like terms: 18 + -4 = 14 7p = 14 Divide each side by '7'. p = 2 Simplifying p = 2
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