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Simplifying 5(v + 2) = 4(v + -6) Reorder the terms: 5(2 + v) = 4(v + -6) (2 * 5 + v * 5) = 4(v + -6) (10 + 5v) = 4(v + -6) Reorder the terms: 10 + 5v = 4(-6 + v) 10 + 5v = (-6 * 4 + v * 4) 10 + 5v = (-24 + 4v) Solving 10 + 5v = -24 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 10 + 5v + -4v = -24 + 4v + -4v Combine like terms: 5v + -4v = 1v 10 + 1v = -24 + 4v + -4v Combine like terms: 4v + -4v = 0 10 + 1v = -24 + 0 10 + 1v = -24 Add '-10' to each side of the equation. 10 + -10 + 1v = -24 + -10 Combine like terms: 10 + -10 = 0 0 + 1v = -24 + -10 1v = -24 + -10 Combine like terms: -24 + -10 = -34 1v = -34 Divide each side by '1'. v = -34 Simplifying v = -34
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