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Simplifying 5(p + 4q + -12) = 0 Reorder the terms: 5(-12 + p + 4q) = 0 (-12 * 5 + p * 5 + 4q * 5) = 0 (-60 + 5p + 20q) = 0 Solving -60 + 5p + 20q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 5p + 60 + 20q = 0 + 60 Reorder the terms: -60 + 60 + 5p + 20q = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 5p + 20q = 0 + 60 5p + 20q = 0 + 60 Combine like terms: 0 + 60 = 60 5p + 20q = 60 Add '-20q' to each side of the equation. 5p + 20q + -20q = 60 + -20q Combine like terms: 20q + -20q = 0 5p + 0 = 60 + -20q 5p = 60 + -20q Divide each side by '5'. p = 12 + -4q Simplifying p = 12 + -4q
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