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Simplifying -3(4v + -6) + v = 4(v + 6) Reorder the terms: -3(-6 + 4v) + v = 4(v + 6) (-6 * -3 + 4v * -3) + v = 4(v + 6) (18 + -12v) + v = 4(v + 6) Combine like terms: -12v + v = -11v 18 + -11v = 4(v + 6) Reorder the terms: 18 + -11v = 4(6 + v) 18 + -11v = (6 * 4 + v * 4) 18 + -11v = (24 + 4v) Solving 18 + -11v = 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. 18 + -11v + -4v = 24 + 4v + -4v Combine like terms: -11v + -4v = -15v 18 + -15v = 24 + 4v + -4v Combine like terms: 4v + -4v = 0 18 + -15v = 24 + 0 18 + -15v = 24 Add '-18' to each side of the equation. 18 + -18 + -15v = 24 + -18 Combine like terms: 18 + -18 = 0 0 + -15v = 24 + -18 -15v = 24 + -18 Combine like terms: 24 + -18 = 6 -15v = 6 Divide each side by '-15'. v = -0.4 Simplifying v = -0.4
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