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Simplifying -3(v + 4) + -2v = 2(v + 1) Reorder the terms: -3(4 + v) + -2v = 2(v + 1) (4 * -3 + v * -3) + -2v = 2(v + 1) (-12 + -3v) + -2v = 2(v + 1) Combine like terms: -3v + -2v = -5v -12 + -5v = 2(v + 1) Reorder the terms: -12 + -5v = 2(1 + v) -12 + -5v = (1 * 2 + v * 2) -12 + -5v = (2 + 2v) Solving -12 + -5v = 2 + 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. -12 + -5v + -2v = 2 + 2v + -2v Combine like terms: -5v + -2v = -7v -12 + -7v = 2 + 2v + -2v Combine like terms: 2v + -2v = 0 -12 + -7v = 2 + 0 -12 + -7v = 2 Add '12' to each side of the equation. -12 + 12 + -7v = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -7v = 2 + 12 -7v = 2 + 12 Combine like terms: 2 + 12 = 14 -7v = 14 Divide each side by '-7'. v = -2 Simplifying v = -2
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