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Simplifying 20 + -1(9p + q) + -3(p + -7) + 5q = 0 20 + (9p * -1 + q * -1) + -3(p + -7) + 5q = 0 20 + (-9p + -1q) + -3(p + -7) + 5q = 0 Reorder the terms: 20 + -9p + -1q + -3(-7 + p) + 5q = 0 20 + -9p + -1q + (-7 * -3 + p * -3) + 5q = 0 20 + -9p + -1q + (21 + -3p) + 5q = 0 Reorder the terms: 20 + 21 + -9p + -3p + -1q + 5q = 0 Combine like terms: 20 + 21 = 41 41 + -9p + -3p + -1q + 5q = 0 Combine like terms: -9p + -3p = -12p 41 + -12p + -1q + 5q = 0 Combine like terms: -1q + 5q = 4q 41 + -12p + 4q = 0 Solving 41 + -12p + 4q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -12p + -41 + 4q = 0 + -41 Reorder the terms: 41 + -41 + -12p + 4q = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -12p + 4q = 0 + -41 -12p + 4q = 0 + -41 Combine like terms: 0 + -41 = -41 -12p + 4q = -41 Add '-4q' to each side of the equation. -12p + 4q + -4q = -41 + -4q Combine like terms: 4q + -4q = 0 -12p + 0 = -41 + -4q -12p = -41 + -4q Divide each side by '-12'. p = 3.416666667 + 0.3333333333q Simplifying p = 3.416666667 + 0.3333333333q
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