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Simplifying 1 + -4v + -3 + -12 = 6v + -4 Reorder the terms: 1 + -3 + -12 + -4v = 6v + -4 Combine like terms: 1 + -3 = -2 -2 + -12 + -4v = 6v + -4 Combine like terms: -2 + -12 = -14 -14 + -4v = 6v + -4 Reorder the terms: -14 + -4v = -4 + 6v Solving -14 + -4v = -4 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -14 + -4v + -6v = -4 + 6v + -6v Combine like terms: -4v + -6v = -10v -14 + -10v = -4 + 6v + -6v Combine like terms: 6v + -6v = 0 -14 + -10v = -4 + 0 -14 + -10v = -4 Add '14' to each side of the equation. -14 + 14 + -10v = -4 + 14 Combine like terms: -14 + 14 = 0 0 + -10v = -4 + 14 -10v = -4 + 14 Combine like terms: -4 + 14 = 10 -10v = 10 Divide each side by '-10'. v = -1 Simplifying v = -1
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