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Simplifying 6(v + -6) + -4 = -6(-2v + 7) + -2v Reorder the terms: 6(-6 + v) + -4 = -6(-2v + 7) + -2v (-6 * 6 + v * 6) + -4 = -6(-2v + 7) + -2v (-36 + 6v) + -4 = -6(-2v + 7) + -2v Reorder the terms: -36 + -4 + 6v = -6(-2v + 7) + -2v Combine like terms: -36 + -4 = -40 -40 + 6v = -6(-2v + 7) + -2v Reorder the terms: -40 + 6v = -6(7 + -2v) + -2v -40 + 6v = (7 * -6 + -2v * -6) + -2v -40 + 6v = (-42 + 12v) + -2v Combine like terms: 12v + -2v = 10v -40 + 6v = -42 + 10v Solving -40 + 6v = -42 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -40 + 6v + -10v = -42 + 10v + -10v Combine like terms: 6v + -10v = -4v -40 + -4v = -42 + 10v + -10v Combine like terms: 10v + -10v = 0 -40 + -4v = -42 + 0 -40 + -4v = -42 Add '40' to each side of the equation. -40 + 40 + -4v = -42 + 40 Combine like terms: -40 + 40 = 0 0 + -4v = -42 + 40 -4v = -42 + 40 Combine like terms: -42 + 40 = -2 -4v = -2 Divide each side by '-4'. v = 0.5 Simplifying v = 0.5
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