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Simplifying (18p + -19q) + (10p + -14q) = 0 Remove parenthesis around (18p + -19q) 18p + -19q + (10p + -14q) = 0 Remove parenthesis around (10p + -14q) 18p + -19q + 10p + -14q = 0 Reorder the terms: 18p + 10p + -19q + -14q = 0 Combine like terms: 18p + 10p = 28p 28p + -19q + -14q = 0 Combine like terms: -19q + -14q = -33q 28p + -33q = 0 Solving 28p + -33q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '33q' to each side of the equation. 28p + -33q + 33q = 0 + 33q Combine like terms: -33q + 33q = 0 28p + 0 = 0 + 33q 28p = 0 + 33q Remove the zero: 28p = 33q Divide each side by '28'. p = 1.178571429q Simplifying p = 1.178571429q
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