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Simplifying (5z + -3v) + -1(-3z) = 0 Reorder the terms: (-3v + 5z) + -1(-3z) = 0 Remove parenthesis around (-3v + 5z) -3v + 5z + -1(-3z) = 0 Remove parenthesis around (-3z) -3v + 5z + -1 * -3z = 0 Multiply -1 * -3 -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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