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Simplifying -4 = 4(v + -6) + -4(5 + -4v) Reorder the terms: -4 = 4(-6 + v) + -4(5 + -4v) -4 = (-6 * 4 + v * 4) + -4(5 + -4v) -4 = (-24 + 4v) + -4(5 + -4v) -4 = -24 + 4v + (5 * -4 + -4v * -4) -4 = -24 + 4v + (-20 + 16v) Reorder the terms: -4 = -24 + -20 + 4v + 16v Combine like terms: -24 + -20 = -44 -4 = -44 + 4v + 16v Combine like terms: 4v + 16v = 20v -4 = -44 + 20v Solving -4 = -44 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. -4 + -20v = -44 + 20v + -20v Combine like terms: 20v + -20v = 0 -4 + -20v = -44 + 0 -4 + -20v = -44 Add '4' to each side of the equation. -4 + 4 + -20v = -44 + 4 Combine like terms: -4 + 4 = 0 0 + -20v = -44 + 4 -20v = -44 + 4 Combine like terms: -44 + 4 = -40 -20v = -40 Divide each side by '-20'. v = 2 Simplifying v = 2
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