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Simplifying 5p + -3(p + -5) + 4(q + -5) = 0 Reorder the terms: 5p + -3(-5 + p) + 4(q + -5) = 0 5p + (-5 * -3 + p * -3) + 4(q + -5) = 0 5p + (15 + -3p) + 4(q + -5) = 0 Reorder the terms: 5p + 15 + -3p + 4(-5 + q) = 0 5p + 15 + -3p + (-5 * 4 + q * 4) = 0 5p + 15 + -3p + (-20 + 4q) = 0 Reorder the terms: 15 + -20 + 5p + -3p + 4q = 0 Combine like terms: 15 + -20 = -5 -5 + 5p + -3p + 4q = 0 Combine like terms: 5p + -3p = 2p -5 + 2p + 4q = 0 Solving -5 + 2p + 4q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 2p + 5 + 4q = 0 + 5 Reorder the terms: -5 + 5 + 2p + 4q = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2p + 4q = 0 + 5 2p + 4q = 0 + 5 Combine like terms: 0 + 5 = 5 2p + 4q = 5 Add '-4q' to each side of the equation. 2p + 4q + -4q = 5 + -4q Combine like terms: 4q + -4q = 0 2p + 0 = 5 + -4q 2p = 5 + -4q Divide each side by '2'. p = 2.5 + -2q Simplifying p = 2.5 + -2q
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