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Simplifying 0.08(3v + -4) = 0.4(v + -4) Reorder the terms: 0.08(-4 + 3v) = 0.4(v + -4) (-4 * 0.08 + 3v * 0.08) = 0.4(v + -4) (-0.32 + 0.24v) = 0.4(v + -4) Reorder the terms: -0.32 + 0.24v = 0.4(-4 + v) -0.32 + 0.24v = (-4 * 0.4 + v * 0.4) -0.32 + 0.24v = (-1.6 + 0.4v) Solving -0.32 + 0.24v = -1.6 + 0.4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-0.4v' to each side of the equation. -0.32 + 0.24v + -0.4v = -1.6 + 0.4v + -0.4v Combine like terms: 0.24v + -0.4v = -0.16v -0.32 + -0.16v = -1.6 + 0.4v + -0.4v Combine like terms: 0.4v + -0.4v = 0.0 -0.32 + -0.16v = -1.6 + 0.0 -0.32 + -0.16v = -1.6 Add '0.32' to each side of the equation. -0.32 + 0.32 + -0.16v = -1.6 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + -0.16v = -1.6 + 0.32 -0.16v = -1.6 + 0.32 Combine like terms: -1.6 + 0.32 = -1.28 -0.16v = -1.28 Divide each side by '-0.16'. v = 8 Simplifying v = 8
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