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Simplifying -5 + -1(4v + -2) = -6 + 3v Reorder the terms: -5 + -1(-2 + 4v) = -6 + 3v -5 + (-2 * -1 + 4v * -1) = -6 + 3v -5 + (2 + -4v) = -6 + 3v Combine like terms: -5 + 2 = -3 -3 + -4v = -6 + 3v Solving -3 + -4v = -6 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -3 + -4v + -3v = -6 + 3v + -3v Combine like terms: -4v + -3v = -7v -3 + -7v = -6 + 3v + -3v Combine like terms: 3v + -3v = 0 -3 + -7v = -6 + 0 -3 + -7v = -6 Add '3' to each side of the equation. -3 + 3 + -7v = -6 + 3 Combine like terms: -3 + 3 = 0 0 + -7v = -6 + 3 -7v = -6 + 3 Combine like terms: -6 + 3 = -3 -7v = -3 Divide each side by '-7'. v = 0.4285714286 Simplifying v = 0.4285714286
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