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Simplifying (-2p + 4q + -7) + -1(-4p + -2q + 5) = 0 Reorder the terms: (-7 + -2p + 4q) + -1(-4p + -2q + 5) = 0 Remove parenthesis around (-7 + -2p + 4q) -7 + -2p + 4q + -1(-4p + -2q + 5) = 0 Reorder the terms: -7 + -2p + 4q + -1(5 + -4p + -2q) = 0 -7 + -2p + 4q + (5 * -1 + -4p * -1 + -2q * -1) = 0 -7 + -2p + 4q + (-5 + 4p + 2q) = 0 Reorder the terms: -7 + -5 + -2p + 4p + 4q + 2q = 0 Combine like terms: -7 + -5 = -12 -12 + -2p + 4p + 4q + 2q = 0 Combine like terms: -2p + 4p = 2p -12 + 2p + 4q + 2q = 0 Combine like terms: 4q + 2q = 6q -12 + 2p + 6q = 0 Solving -12 + 2p + 6q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 2p + 12 + 6q = 0 + 12 Reorder the terms: -12 + 12 + 2p + 6q = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2p + 6q = 0 + 12 2p + 6q = 0 + 12 Combine like terms: 0 + 12 = 12 2p + 6q = 12 Add '-6q' to each side of the equation. 2p + 6q + -6q = 12 + -6q Combine like terms: 6q + -6q = 0 2p + 0 = 12 + -6q 2p = 12 + -6q Divide each side by '2'. p = 6 + -3q Simplifying p = 6 + -3q
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