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Simplifying -6v + -38 = 2(v + -7) Reorder the terms: -38 + -6v = 2(v + -7) Reorder the terms: -38 + -6v = 2(-7 + v) -38 + -6v = (-7 * 2 + v * 2) -38 + -6v = (-14 + 2v) Solving -38 + -6v = -14 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -38 + -6v + -2v = -14 + 2v + -2v Combine like terms: -6v + -2v = -8v -38 + -8v = -14 + 2v + -2v Combine like terms: 2v + -2v = 0 -38 + -8v = -14 + 0 -38 + -8v = -14 Add '38' to each side of the equation. -38 + 38 + -8v = -14 + 38 Combine like terms: -38 + 38 = 0 0 + -8v = -14 + 38 -8v = -14 + 38 Combine like terms: -14 + 38 = 24 -8v = 24 Divide each side by '-8'. v = -3 Simplifying v = -3
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