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Simplifying 0.125v + 0.5 = 0.875v + 3.5 Reorder the terms: 0.5 + 0.125v = 0.875v + 3.5 Reorder the terms: 0.5 + 0.125v = 3.5 + 0.875v Solving 0.5 + 0.125v = 3.5 + 0.875v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-0.875v' to each side of the equation. 0.5 + 0.125v + -0.875v = 3.5 + 0.875v + -0.875v Combine like terms: 0.125v + -0.875v = -0.75v 0.5 + -0.75v = 3.5 + 0.875v + -0.875v Combine like terms: 0.875v + -0.875v = 0.000 0.5 + -0.75v = 3.5 + 0.000 0.5 + -0.75v = 3.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.75v = 3.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.75v = 3.5 + -0.5 -0.75v = 3.5 + -0.5 Combine like terms: 3.5 + -0.5 = 3 -0.75v = 3 Divide each side by '-0.75'. v = -4 Simplifying v = -4
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