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Simplifying 5(p + 8q + -14) = 0 Reorder the terms: 5(-14 + p + 8q) = 0 (-14 * 5 + p * 5 + 8q * 5) = 0 (-70 + 5p + 40q) = 0 Solving -70 + 5p + 40q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 5p + 70 + 40q = 0 + 70 Reorder the terms: -70 + 70 + 5p + 40q = 0 + 70 Combine like terms: -70 + 70 = 0 0 + 5p + 40q = 0 + 70 5p + 40q = 0 + 70 Combine like terms: 0 + 70 = 70 5p + 40q = 70 Add '-40q' to each side of the equation. 5p + 40q + -40q = 70 + -40q Combine like terms: 40q + -40q = 0 5p + 0 = 70 + -40q 5p = 70 + -40q Divide each side by '5'. p = 14 + -8q Simplifying p = 14 + -8q
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