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Simplifying 4[3 + -4(5 + -1v)] = 6 + -5(3v + -4) 4[3 + (5 * -4 + -1v * -4)] = 6 + -5(3v + -4) 4[3 + (-20 + 4v)] = 6 + -5(3v + -4) Combine like terms: 3 + -20 = -17 4[-17 + 4v] = 6 + -5(3v + -4) [-17 * 4 + 4v * 4] = 6 + -5(3v + -4) [-68 + 16v] = 6 + -5(3v + -4) Reorder the terms: -68 + 16v = 6 + -5(-4 + 3v) -68 + 16v = 6 + (-4 * -5 + 3v * -5) -68 + 16v = 6 + (20 + -15v) Combine like terms: 6 + 20 = 26 -68 + 16v = 26 + -15v Solving -68 + 16v = 26 + -15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. -68 + 16v + 15v = 26 + -15v + 15v Combine like terms: 16v + 15v = 31v -68 + 31v = 26 + -15v + 15v Combine like terms: -15v + 15v = 0 -68 + 31v = 26 + 0 -68 + 31v = 26 Add '68' to each side of the equation. -68 + 68 + 31v = 26 + 68 Combine like terms: -68 + 68 = 0 0 + 31v = 26 + 68 31v = 26 + 68 Combine like terms: 26 + 68 = 94 31v = 94 Divide each side by '31'. v = 3.032258065 Simplifying v = 3.032258065
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