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Simplifying 2x + 3 + -4v = 1(x + 9) Reorder the terms: 3 + -4v + 2x = 1(x + 9) Reorder the terms: 3 + -4v + 2x = 1(9 + x) 3 + -4v + 2x = (9 * 1 + x * 1) 3 + -4v + 2x = (9 + 1x) Solving 3 + -4v + 2x = 9 + 1x 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 + -4v + -3 + 2x = 9 + -3 + 1x Reorder the terms: 3 + -3 + -4v + 2x = 9 + -3 + 1x Combine like terms: 3 + -3 = 0 0 + -4v + 2x = 9 + -3 + 1x -4v + 2x = 9 + -3 + 1x Combine like terms: 9 + -3 = 6 -4v + 2x = 6 + 1x Add '-2x' to each side of the equation. -4v + 2x + -2x = 6 + 1x + -2x Combine like terms: 2x + -2x = 0 -4v + 0 = 6 + 1x + -2x -4v = 6 + 1x + -2x Combine like terms: 1x + -2x = -1x -4v = 6 + -1x Divide each side by '-4'. v = -1.5 + 0.25x Simplifying v = -1.5 + 0.25x
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