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Simplifying (7x + -10v) + -1(-4x + 2v) = 0 Reorder the terms: (-10v + 7x) + -1(-4x + 2v) = 0 Remove parenthesis around (-10v + 7x) -10v + 7x + -1(-4x + 2v) = 0 Reorder the terms: -10v + 7x + -1(2v + -4x) = 0 -10v + 7x + (2v * -1 + -4x * -1) = 0 -10v + 7x + (-2v + 4x) = 0 Reorder the terms: -10v + -2v + 7x + 4x = 0 Combine like terms: -10v + -2v = -12v -12v + 7x + 4x = 0 Combine like terms: 7x + 4x = 11x -12v + 11x = 0 Solving -12v + 11x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11x' to each side of the equation. -12v + 11x + -11x = 0 + -11x Combine like terms: 11x + -11x = 0 -12v + 0 = 0 + -11x -12v = 0 + -11x Remove the zero: -12v = -11x Divide each side by '-12'. v = 0.9166666667x Simplifying v = 0.9166666667x
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