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Simplifying 5p + -7(p + -5) + 4(q + -5) = 0 Reorder the terms: 5p + -7(-5 + p) + 4(q + -5) = 0 5p + (-5 * -7 + p * -7) + 4(q + -5) = 0 5p + (35 + -7p) + 4(q + -5) = 0 Reorder the terms: 5p + 35 + -7p + 4(-5 + q) = 0 5p + 35 + -7p + (-5 * 4 + q * 4) = 0 5p + 35 + -7p + (-20 + 4q) = 0 Reorder the terms: 35 + -20 + 5p + -7p + 4q = 0 Combine like terms: 35 + -20 = 15 15 + 5p + -7p + 4q = 0 Combine like terms: 5p + -7p = -2p 15 + -2p + 4q = 0 Solving 15 + -2p + 4q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -2p + -15 + 4q = 0 + -15 Reorder the terms: 15 + -15 + -2p + 4q = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2p + 4q = 0 + -15 -2p + 4q = 0 + -15 Combine like terms: 0 + -15 = -15 -2p + 4q = -15 Add '-4q' to each side of the equation. -2p + 4q + -4q = -15 + -4q Combine like terms: 4q + -4q = 0 -2p + 0 = -15 + -4q -2p = -15 + -4q Divide each side by '-2'. p = 7.5 + 2q Simplifying p = 7.5 + 2q
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