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Simplifying -4(v + -2) = -3(v + -8) + -8v Reorder the terms: -4(-2 + v) = -3(v + -8) + -8v (-2 * -4 + v * -4) = -3(v + -8) + -8v (8 + -4v) = -3(v + -8) + -8v Reorder the terms: 8 + -4v = -3(-8 + v) + -8v 8 + -4v = (-8 * -3 + v * -3) + -8v 8 + -4v = (24 + -3v) + -8v Combine like terms: -3v + -8v = -11v 8 + -4v = 24 + -11v Solving 8 + -4v = 24 + -11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '11v' to each side of the equation. 8 + -4v + 11v = 24 + -11v + 11v Combine like terms: -4v + 11v = 7v 8 + 7v = 24 + -11v + 11v Combine like terms: -11v + 11v = 0 8 + 7v = 24 + 0 8 + 7v = 24 Add '-8' to each side of the equation. 8 + -8 + 7v = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 7v = 24 + -8 7v = 24 + -8 Combine like terms: 24 + -8 = 16 7v = 16 Divide each side by '7'. v = 2.285714286 Simplifying v = 2.285714286
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