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Simplifying 6v + -1(v + -6) = -4v + 3(5v + -6) Reorder the terms: 6v + -1(-6 + v) = -4v + 3(5v + -6) 6v + (-6 * -1 + v * -1) = -4v + 3(5v + -6) 6v + (6 + -1v) = -4v + 3(5v + -6) Reorder the terms: 6 + 6v + -1v = -4v + 3(5v + -6) Combine like terms: 6v + -1v = 5v 6 + 5v = -4v + 3(5v + -6) Reorder the terms: 6 + 5v = -4v + 3(-6 + 5v) 6 + 5v = -4v + (-6 * 3 + 5v * 3) 6 + 5v = -4v + (-18 + 15v) Reorder the terms: 6 + 5v = -18 + -4v + 15v Combine like terms: -4v + 15v = 11v 6 + 5v = -18 + 11v Solving 6 + 5v = -18 + 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. 6 + 5v + -11v = -18 + 11v + -11v Combine like terms: 5v + -11v = -6v 6 + -6v = -18 + 11v + -11v Combine like terms: 11v + -11v = 0 6 + -6v = -18 + 0 6 + -6v = -18 Add '-6' to each side of the equation. 6 + -6 + -6v = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -6v = -18 + -6 -6v = -18 + -6 Combine like terms: -18 + -6 = -24 -6v = -24 Divide each side by '-6'. v = 4 Simplifying v = 4
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