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Simplifying 4 = 4v + -0.5(v + 4) Reorder the terms: 4 = 4v + -0.5(4 + v) 4 = 4v + (4 * -0.5 + v * -0.5) 4 = 4v + (-2 + -0.5v) Reorder the terms: 4 = -2 + 4v + -0.5v Combine like terms: 4v + -0.5v = 3.5v 4 = -2 + 3.5v Solving 4 = -2 + 3.5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3.5v' to each side of the equation. 4 + -3.5v = -2 + 3.5v + -3.5v Combine like terms: 3.5v + -3.5v = 0.0 4 + -3.5v = -2 + 0.0 4 + -3.5v = -2 Add '-4' to each side of the equation. 4 + -4 + -3.5v = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -3.5v = -2 + -4 -3.5v = -2 + -4 Combine like terms: -2 + -4 = -6 -3.5v = -6 Divide each side by '-3.5'. v = 1.714285714 Simplifying v = 1.714285714
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