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Simplifying (3p + -18) + 12 = -3p Reorder the terms: (-18 + 3p) + 12 = -3p Remove parenthesis around (-18 + 3p) -18 + 3p + 12 = -3p Reorder the terms: -18 + 12 + 3p = -3p Combine like terms: -18 + 12 = -6 -6 + 3p = -3p Solving -6 + 3p = -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. -6 + 3p + 3p = -3p + 3p Combine like terms: 3p + 3p = 6p -6 + 6p = -3p + 3p Combine like terms: -3p + 3p = 0 -6 + 6p = 0 Add '6' to each side of the equation. -6 + 6 + 6p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 6p = 0 + 6 6p = 0 + 6 Combine like terms: 0 + 6 = 6 6p = 6 Divide each side by '6'. p = 1 Simplifying p = 1
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