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Simplifying 5v + -25 = 4(7v + -2) Reorder the terms: -25 + 5v = 4(7v + -2) Reorder the terms: -25 + 5v = 4(-2 + 7v) -25 + 5v = (-2 * 4 + 7v * 4) -25 + 5v = (-8 + 28v) Solving -25 + 5v = -8 + 28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-28v' to each side of the equation. -25 + 5v + -28v = -8 + 28v + -28v Combine like terms: 5v + -28v = -23v -25 + -23v = -8 + 28v + -28v Combine like terms: 28v + -28v = 0 -25 + -23v = -8 + 0 -25 + -23v = -8 Add '25' to each side of the equation. -25 + 25 + -23v = -8 + 25 Combine like terms: -25 + 25 = 0 0 + -23v = -8 + 25 -23v = -8 + 25 Combine like terms: -8 + 25 = 17 -23v = 17 Divide each side by '-23'. v = -0.7391304348 Simplifying v = -0.7391304348
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