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Simplifying 9 + -7v = 5(1 + 5v) + 4v 9 + -7v = (1 * 5 + 5v * 5) + 4v 9 + -7v = (5 + 25v) + 4v Combine like terms: 25v + 4v = 29v 9 + -7v = 5 + 29v Solving 9 + -7v = 5 + 29v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-29v' to each side of the equation. 9 + -7v + -29v = 5 + 29v + -29v Combine like terms: -7v + -29v = -36v 9 + -36v = 5 + 29v + -29v Combine like terms: 29v + -29v = 0 9 + -36v = 5 + 0 9 + -36v = 5 Add '-9' to each side of the equation. 9 + -9 + -36v = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -36v = 5 + -9 -36v = 5 + -9 Combine like terms: 5 + -9 = -4 -36v = -4 Divide each side by '-36'. v = 0.1111111111 Simplifying v = 0.1111111111
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