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Simplifying -39 = -3v + 6(v + -7) Reorder the terms: -39 = -3v + 6(-7 + v) -39 = -3v + (-7 * 6 + v * 6) -39 = -3v + (-42 + 6v) Reorder the terms: -39 = -42 + -3v + 6v Combine like terms: -3v + 6v = 3v -39 = -42 + 3v Solving -39 = -42 + 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. -39 + -3v = -42 + 3v + -3v Combine like terms: 3v + -3v = 0 -39 + -3v = -42 + 0 -39 + -3v = -42 Add '39' to each side of the equation. -39 + 39 + -3v = -42 + 39 Combine like terms: -39 + 39 = 0 0 + -3v = -42 + 39 -3v = -42 + 39 Combine like terms: -42 + 39 = -3 -3v = -3 Divide each side by '-3'. v = 1 Simplifying v = 1
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