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Simplifying 4p + 3(p + -2) + -5(q + -6) = 0 Reorder the terms: 4p + 3(-2 + p) + -5(q + -6) = 0 4p + (-2 * 3 + p * 3) + -5(q + -6) = 0 4p + (-6 + 3p) + -5(q + -6) = 0 Reorder the terms: 4p + -6 + 3p + -5(-6 + q) = 0 4p + -6 + 3p + (-6 * -5 + q * -5) = 0 4p + -6 + 3p + (30 + -5q) = 0 Reorder the terms: -6 + 30 + 4p + 3p + -5q = 0 Combine like terms: -6 + 30 = 24 24 + 4p + 3p + -5q = 0 Combine like terms: 4p + 3p = 7p 24 + 7p + -5q = 0 Solving 24 + 7p + -5q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 7p + -24 + -5q = 0 + -24 Reorder the terms: 24 + -24 + 7p + -5q = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 7p + -5q = 0 + -24 7p + -5q = 0 + -24 Combine like terms: 0 + -24 = -24 7p + -5q = -24 Add '5q' to each side of the equation. 7p + -5q + 5q = -24 + 5q Combine like terms: -5q + 5q = 0 7p + 0 = -24 + 5q 7p = -24 + 5q Divide each side by '7'. p = -3.428571429 + 0.7142857143q Simplifying p = -3.428571429 + 0.7142857143q
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