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Simplifying 5p + 7(p + -5) + -3(q + -5) = 0 Reorder the terms: 5p + 7(-5 + p) + -3(q + -5) = 0 5p + (-5 * 7 + p * 7) + -3(q + -5) = 0 5p + (-35 + 7p) + -3(q + -5) = 0 Reorder the terms: 5p + -35 + 7p + -3(-5 + q) = 0 5p + -35 + 7p + (-5 * -3 + q * -3) = 0 5p + -35 + 7p + (15 + -3q) = 0 Reorder the terms: -35 + 15 + 5p + 7p + -3q = 0 Combine like terms: -35 + 15 = -20 -20 + 5p + 7p + -3q = 0 Combine like terms: 5p + 7p = 12p -20 + 12p + -3q = 0 Solving -20 + 12p + -3q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 12p + 20 + -3q = 0 + 20 Reorder the terms: -20 + 20 + 12p + -3q = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 12p + -3q = 0 + 20 12p + -3q = 0 + 20 Combine like terms: 0 + 20 = 20 12p + -3q = 20 Add '3q' to each side of the equation. 12p + -3q + 3q = 20 + 3q Combine like terms: -3q + 3q = 0 12p + 0 = 20 + 3q 12p = 20 + 3q Divide each side by '12'. p = 1.666666667 + 0.25q Simplifying p = 1.666666667 + 0.25q
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