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Simplifying 2(2v + 1) + (2x + 1) = 0 Reorder the terms: 2(1 + 2v) + (2x + 1) = 0 (1 * 2 + 2v * 2) + (2x + 1) = 0 (2 + 4v) + (2x + 1) = 0 Reorder the terms: 2 + 4v + (1 + 2x) = 0 Remove parenthesis around (1 + 2x) 2 + 4v + 1 + 2x = 0 Reorder the terms: 2 + 1 + 4v + 2x = 0 Combine like terms: 2 + 1 = 3 3 + 4v + 2x = 0 Solving 3 + 4v + 2x = 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 + 4v + -3 + 2x = 0 + -3 Reorder the terms: 3 + -3 + 4v + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4v + 2x = 0 + -3 4v + 2x = 0 + -3 Combine like terms: 0 + -3 = -3 4v + 2x = -3 Add '-2x' to each side of the equation. 4v + 2x + -2x = -3 + -2x Combine like terms: 2x + -2x = 0 4v + 0 = -3 + -2x 4v = -3 + -2x Divide each side by '4'. v = -0.75 + -0.5x Simplifying v = -0.75 + -0.5x
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