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Simplifying -2(v + 1) + -3v = 2(v + -6) Reorder the terms: -2(1 + v) + -3v = 2(v + -6) (1 * -2 + v * -2) + -3v = 2(v + -6) (-2 + -2v) + -3v = 2(v + -6) Combine like terms: -2v + -3v = -5v -2 + -5v = 2(v + -6) Reorder the terms: -2 + -5v = 2(-6 + v) -2 + -5v = (-6 * 2 + v * 2) -2 + -5v = (-12 + 2v) Solving -2 + -5v = -12 + 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. -2 + -5v + -2v = -12 + 2v + -2v Combine like terms: -5v + -2v = -7v -2 + -7v = -12 + 2v + -2v Combine like terms: 2v + -2v = 0 -2 + -7v = -12 + 0 -2 + -7v = -12 Add '2' to each side of the equation. -2 + 2 + -7v = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -7v = -12 + 2 -7v = -12 + 2 Combine like terms: -12 + 2 = -10 -7v = -10 Divide each side by '-7'. v = 1.428571429 Simplifying v = 1.428571429
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