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Simplifying 3(1 + -7v) = -39 + -7v (1 * 3 + -7v * 3) = -39 + -7v (3 + -21v) = -39 + -7v Solving 3 + -21v = -39 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 3 + -21v + 7v = -39 + -7v + 7v Combine like terms: -21v + 7v = -14v 3 + -14v = -39 + -7v + 7v Combine like terms: -7v + 7v = 0 3 + -14v = -39 + 0 3 + -14v = -39 Add '-3' to each side of the equation. 3 + -3 + -14v = -39 + -3 Combine like terms: 3 + -3 = 0 0 + -14v = -39 + -3 -14v = -39 + -3 Combine like terms: -39 + -3 = -42 -14v = -42 Divide each side by '-14'. v = 3 Simplifying v = 3
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