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Simplifying -3v + -8 + 2v = 2v + -7(v + -25) Reorder the terms: -8 + -3v + 2v = 2v + -7(v + -25) Combine like terms: -3v + 2v = -1v -8 + -1v = 2v + -7(v + -25) Reorder the terms: -8 + -1v = 2v + -7(-25 + v) -8 + -1v = 2v + (-25 * -7 + v * -7) -8 + -1v = 2v + (175 + -7v) Reorder the terms: -8 + -1v = 175 + 2v + -7v Combine like terms: 2v + -7v = -5v -8 + -1v = 175 + -5v Solving -8 + -1v = 175 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -8 + -1v + 5v = 175 + -5v + 5v Combine like terms: -1v + 5v = 4v -8 + 4v = 175 + -5v + 5v Combine like terms: -5v + 5v = 0 -8 + 4v = 175 + 0 -8 + 4v = 175 Add '8' to each side of the equation. -8 + 8 + 4v = 175 + 8 Combine like terms: -8 + 8 = 0 0 + 4v = 175 + 8 4v = 175 + 8 Combine like terms: 175 + 8 = 183 4v = 183 Divide each side by '4'. v = 45.75 Simplifying v = 45.75
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