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Simplifying -2(-2x + -1v) + -3(v + 6x) = 0 Reorder the terms: -2(-1v + -2x) + -3(v + 6x) = 0 (-1v * -2 + -2x * -2) + -3(v + 6x) = 0 (2v + 4x) + -3(v + 6x) = 0 2v + 4x + (v * -3 + 6x * -3) = 0 2v + 4x + (-3v + -18x) = 0 Reorder the terms: 2v + -3v + 4x + -18x = 0 Combine like terms: 2v + -3v = -1v -1v + 4x + -18x = 0 Combine like terms: 4x + -18x = -14x -1v + -14x = 0 Solving -1v + -14x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14x' to each side of the equation. -1v + -14x + 14x = 0 + 14x Combine like terms: -14x + 14x = 0 -1v + 0 = 0 + 14x -1v = 0 + 14x Remove the zero: -1v = 14x Divide each side by '-1'. v = -14x Simplifying v = -14x
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