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Simplifying (-8v + 7z) + -1(-7v + 9z) = 0 Remove parenthesis around (-8v + 7z) -8v + 7z + -1(-7v + 9z) = 0 -8v + 7z + (-7v * -1 + 9z * -1) = 0 -8v + 7z + (7v + -9z) = 0 Reorder the terms: -8v + 7v + 7z + -9z = 0 Combine like terms: -8v + 7v = -1v -1v + 7z + -9z = 0 Combine like terms: 7z + -9z = -2z -1v + -2z = 0 Solving -1v + -2z = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2z' to each side of the equation. -1v + -2z + 2z = 0 + 2z Combine like terms: -2z + 2z = 0 -1v + 0 = 0 + 2z -1v = 0 + 2z Remove the zero: -1v = 2z Divide each side by '-1'. v = -2z Simplifying v = -2z
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