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Simplifying -4(6x + v) + -3(-3v + -6x) = 0 Reorder the terms: -4(v + 6x) + -3(-3v + -6x) = 0 (v * -4 + 6x * -4) + -3(-3v + -6x) = 0 (-4v + -24x) + -3(-3v + -6x) = 0 -4v + -24x + (-3v * -3 + -6x * -3) = 0 -4v + -24x + (9v + 18x) = 0 Reorder the terms: -4v + 9v + -24x + 18x = 0 Combine like terms: -4v + 9v = 5v 5v + -24x + 18x = 0 Combine like terms: -24x + 18x = -6x 5v + -6x = 0 Solving 5v + -6x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6x' to each side of the equation. 5v + -6x + 6x = 0 + 6x Combine like terms: -6x + 6x = 0 5v + 0 = 0 + 6x 5v = 0 + 6x Remove the zero: 5v = 6x Divide each side by '5'. v = 1.2x Simplifying v = 1.2x
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