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Simplifying -2(-7v + 4) + -2v = 2(v + -3) + -7 Reorder the terms: -2(4 + -7v) + -2v = 2(v + -3) + -7 (4 * -2 + -7v * -2) + -2v = 2(v + -3) + -7 (-8 + 14v) + -2v = 2(v + -3) + -7 Combine like terms: 14v + -2v = 12v -8 + 12v = 2(v + -3) + -7 Reorder the terms: -8 + 12v = 2(-3 + v) + -7 -8 + 12v = (-3 * 2 + v * 2) + -7 -8 + 12v = (-6 + 2v) + -7 Reorder the terms: -8 + 12v = -6 + -7 + 2v Combine like terms: -6 + -7 = -13 -8 + 12v = -13 + 2v Solving -8 + 12v = -13 + 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. -8 + 12v + -2v = -13 + 2v + -2v Combine like terms: 12v + -2v = 10v -8 + 10v = -13 + 2v + -2v Combine like terms: 2v + -2v = 0 -8 + 10v = -13 + 0 -8 + 10v = -13 Add '8' to each side of the equation. -8 + 8 + 10v = -13 + 8 Combine like terms: -8 + 8 = 0 0 + 10v = -13 + 8 10v = -13 + 8 Combine like terms: -13 + 8 = -5 10v = -5 Divide each side by '10'. v = -0.5 Simplifying v = -0.5
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