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Simplifying -7(v + -1) = -3v + 39 Reorder the terms: -7(-1 + v) = -3v + 39 (-1 * -7 + v * -7) = -3v + 39 (7 + -7v) = -3v + 39 Reorder the terms: 7 + -7v = 39 + -3v Solving 7 + -7v = 39 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 7 + -7v + 3v = 39 + -3v + 3v Combine like terms: -7v + 3v = -4v 7 + -4v = 39 + -3v + 3v Combine like terms: -3v + 3v = 0 7 + -4v = 39 + 0 7 + -4v = 39 Add '-7' to each side of the equation. 7 + -7 + -4v = 39 + -7 Combine like terms: 7 + -7 = 0 0 + -4v = 39 + -7 -4v = 39 + -7 Combine like terms: 39 + -7 = 32 -4v = 32 Divide each side by '-4'. v = -8 Simplifying v = -8
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