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Simplifying 5z + -1(-3z + -3v) = 0 Reorder the terms: 5z + -1(-3v + -3z) = 0 5z + (-3v * -1 + -3z * -1) = 0 5z + (3v + 3z) = 0 Reorder the terms: 3v + 5z + 3z = 0 Combine like terms: 5z + 3z = 8z 3v + 8z = 0 Solving 3v + 8z = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8z' to each side of the equation. 3v + 8z + -8z = 0 + -8z Combine like terms: 8z + -8z = 0 3v + 0 = 0 + -8z 3v = 0 + -8z Remove the zero: 3v = -8z Divide each side by '3'. v = -2.666666667z Simplifying v = -2.666666667z
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