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Simplifying -7(v + -3) = 5v + -39 Reorder the terms: -7(-3 + v) = 5v + -39 (-3 * -7 + v * -7) = 5v + -39 (21 + -7v) = 5v + -39 Reorder the terms: 21 + -7v = -39 + 5v Solving 21 + -7v = -39 + 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. 21 + -7v + -5v = -39 + 5v + -5v Combine like terms: -7v + -5v = -12v 21 + -12v = -39 + 5v + -5v Combine like terms: 5v + -5v = 0 21 + -12v = -39 + 0 21 + -12v = -39 Add '-21' to each side of the equation. 21 + -21 + -12v = -39 + -21 Combine like terms: 21 + -21 = 0 0 + -12v = -39 + -21 -12v = -39 + -21 Combine like terms: -39 + -21 = -60 -12v = -60 Divide each side by '-12'. v = 5 Simplifying v = 5
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