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Simplifying (8x + z + -7v) + (5x + 10v + -4z) = 0 Reorder the terms: (-7v + 8x + z) + (5x + 10v + -4z) = 0 Remove parenthesis around (-7v + 8x + z) -7v + 8x + z + (5x + 10v + -4z) = 0 Reorder the terms: -7v + 8x + z + (10v + 5x + -4z) = 0 Remove parenthesis around (10v + 5x + -4z) -7v + 8x + z + 10v + 5x + -4z = 0 Reorder the terms: -7v + 10v + 8x + 5x + z + -4z = 0 Combine like terms: -7v + 10v = 3v 3v + 8x + 5x + z + -4z = 0 Combine like terms: 8x + 5x = 13x 3v + 13x + z + -4z = 0 Combine like terms: z + -4z = -3z 3v + 13x + -3z = 0 Solving 3v + 13x + -3z = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13x' to each side of the equation. 3v + 13x + -13x + -3z = 0 + -13x Combine like terms: 13x + -13x = 0 3v + 0 + -3z = 0 + -13x 3v + -3z = 0 + -13x Remove the zero: 3v + -3z = -13x Add '3z' to each side of the equation. 3v + -3z + 3z = -13x + 3z Combine like terms: -3z + 3z = 0 3v + 0 = -13x + 3z 3v = -13x + 3z Divide each side by '3'. v = -4.333333333x + z Simplifying v = -4.333333333x + z
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