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Simplifying 3(p + -2q) + 6q + -12 = 33 (p * 3 + -2q * 3) + 6q + -12 = 33 (3p + -6q) + 6q + -12 = 33 Reorder the terms: -12 + 3p + -6q + 6q = 33 Combine like terms: -6q + 6q = 0 -12 + 3p + 0 = 33 -12 + 3p = 33 Solving -12 + 3p = 33 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 3p = 33 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = 33 + 12 3p = 33 + 12 Combine like terms: 33 + 12 = 45 3p = 45 Divide each side by '3'. p = 15 Simplifying p = 15
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