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Simplifying -6(2 + -4v) + 5v = 157 (2 * -6 + -4v * -6) + 5v = 157 (-12 + 24v) + 5v = 157 Combine like terms: 24v + 5v = 29v -12 + 29v = 157 Solving -12 + 29v = 157 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 29v = 157 + 12 Combine like terms: -12 + 12 = 0 0 + 29v = 157 + 12 29v = 157 + 12 Combine like terms: 157 + 12 = 169 29v = 169 Divide each side by '29'. v = 5.827586207 Simplifying v = 5.827586207
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