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Simplifying 5(p + 7q + -12) = 0 Reorder the terms: 5(-12 + p + 7q) = 0 (-12 * 5 + p * 5 + 7q * 5) = 0 (-60 + 5p + 35q) = 0 Solving -60 + 5p + 35q = 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 + 35q = 0 + 60 Reorder the terms: -60 + 60 + 5p + 35q = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 5p + 35q = 0 + 60 5p + 35q = 0 + 60 Combine like terms: 0 + 60 = 60 5p + 35q = 60 Add '-35q' to each side of the equation. 5p + 35q + -35q = 60 + -35q Combine like terms: 35q + -35q = 0 5p + 0 = 60 + -35q 5p = 60 + -35q Divide each side by '5'. p = 12 + -7q Simplifying p = 12 + -7q
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