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Simplifying -12 + -1v = 3(4v + -4) Reorder the terms: -12 + -1v = 3(-4 + 4v) -12 + -1v = (-4 * 3 + 4v * 3) -12 + -1v = (-12 + 12v) Add '12' to each side of the equation. -12 + 12 + -1v = -12 + 12 + 12v Combine like terms: -12 + 12 = 0 0 + -1v = -12 + 12 + 12v -1v = -12 + 12 + 12v Combine like terms: -12 + 12 = 0 -1v = 0 + 12v -1v = 12v Solving -1v = 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -1v + -12v = 12v + -12v Combine like terms: -1v + -12v = -13v -13v = 12v + -12v Combine like terms: 12v + -12v = 0 -13v = 0 Divide each side by '-13'. v = 0 Simplifying v = 0
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