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Simplifying 2x + 7 + -6v + 5x + -4 + 2y = 0 Reorder the terms: 7 + -4 + -6v + 2x + 5x + 2y = 0 Combine like terms: 7 + -4 = 3 3 + -6v + 2x + 5x + 2y = 0 Combine like terms: 2x + 5x = 7x 3 + -6v + 7x + 2y = 0 Solving 3 + -6v + 7x + 2y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -6v + 7x + -3 + 2y = 0 + -3 Reorder the terms: 3 + -3 + -6v + 7x + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -6v + 7x + 2y = 0 + -3 -6v + 7x + 2y = 0 + -3 Combine like terms: 0 + -3 = -3 -6v + 7x + 2y = -3 Add '-7x' to each side of the equation. -6v + 7x + -7x + 2y = -3 + -7x Combine like terms: 7x + -7x = 0 -6v + 0 + 2y = -3 + -7x -6v + 2y = -3 + -7x Add '-2y' to each side of the equation. -6v + 2y + -2y = -3 + -7x + -2y Combine like terms: 2y + -2y = 0 -6v + 0 = -3 + -7x + -2y -6v = -3 + -7x + -2y Divide each side by '-6'. v = 0.5 + 1.166666667x + 0.3333333333y Simplifying v = 0.5 + 1.166666667x + 0.3333333333y
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