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Simplifying 5(p + 9q + -11) = 0 Reorder the terms: 5(-11 + p + 9q) = 0 (-11 * 5 + p * 5 + 9q * 5) = 0 (-55 + 5p + 45q) = 0 Solving -55 + 5p + 45q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 5p + 55 + 45q = 0 + 55 Reorder the terms: -55 + 55 + 5p + 45q = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 5p + 45q = 0 + 55 5p + 45q = 0 + 55 Combine like terms: 0 + 55 = 55 5p + 45q = 55 Add '-45q' to each side of the equation. 5p + 45q + -45q = 55 + -45q Combine like terms: 45q + -45q = 0 5p + 0 = 55 + -45q 5p = 55 + -45q Divide each side by '5'. p = 11 + -9q Simplifying p = 11 + -9q
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