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Simplifying 7(p + 4q + -12) = 0 Reorder the terms: 7(-12 + p + 4q) = 0 (-12 * 7 + p * 7 + 4q * 7) = 0 (-84 + 7p + 28q) = 0 Solving -84 + 7p + 28q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 7p + 84 + 28q = 0 + 84 Reorder the terms: -84 + 84 + 7p + 28q = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 7p + 28q = 0 + 84 7p + 28q = 0 + 84 Combine like terms: 0 + 84 = 84 7p + 28q = 84 Add '-28q' to each side of the equation. 7p + 28q + -28q = 84 + -28q Combine like terms: 28q + -28q = 0 7p + 0 = 84 + -28q 7p = 84 + -28q Divide each side by '7'. p = 12 + -4q Simplifying p = 12 + -4q
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