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Simplifying -3(-7 + 4v) + -6 = 35 + -2v (-7 * -3 + 4v * -3) + -6 = 35 + -2v (21 + -12v) + -6 = 35 + -2v Reorder the terms: 21 + -6 + -12v = 35 + -2v Combine like terms: 21 + -6 = 15 15 + -12v = 35 + -2v Solving 15 + -12v = 35 + -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. 15 + -12v + 2v = 35 + -2v + 2v Combine like terms: -12v + 2v = -10v 15 + -10v = 35 + -2v + 2v Combine like terms: -2v + 2v = 0 15 + -10v = 35 + 0 15 + -10v = 35 Add '-15' to each side of the equation. 15 + -15 + -10v = 35 + -15 Combine like terms: 15 + -15 = 0 0 + -10v = 35 + -15 -10v = 35 + -15 Combine like terms: 35 + -15 = 20 -10v = 20 Divide each side by '-10'. v = -2 Simplifying v = -2
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