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Simplifying 3v + -6(1 + 7v) = -201 3v + (1 * -6 + 7v * -6) = -201 3v + (-6 + -42v) = -201 Reorder the terms: -6 + 3v + -42v = -201 Combine like terms: 3v + -42v = -39v -6 + -39v = -201 Solving -6 + -39v = -201 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -39v = -201 + 6 Combine like terms: -6 + 6 = 0 0 + -39v = -201 + 6 -39v = -201 + 6 Combine like terms: -201 + 6 = -195 -39v = -195 Divide each side by '-39'. v = 5 Simplifying v = 5
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