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Simplifying -6(v + 4) + 4v + 6 = 6v + 19 Reorder the terms: -6(4 + v) + 4v + 6 = 6v + 19 (4 * -6 + v * -6) + 4v + 6 = 6v + 19 (-24 + -6v) + 4v + 6 = 6v + 19 Reorder the terms: -24 + 6 + -6v + 4v = 6v + 19 Combine like terms: -24 + 6 = -18 -18 + -6v + 4v = 6v + 19 Combine like terms: -6v + 4v = -2v -18 + -2v = 6v + 19 Reorder the terms: -18 + -2v = 19 + 6v Solving -18 + -2v = 19 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -18 + -2v + -6v = 19 + 6v + -6v Combine like terms: -2v + -6v = -8v -18 + -8v = 19 + 6v + -6v Combine like terms: 6v + -6v = 0 -18 + -8v = 19 + 0 -18 + -8v = 19 Add '18' to each side of the equation. -18 + 18 + -8v = 19 + 18 Combine like terms: -18 + 18 = 0 0 + -8v = 19 + 18 -8v = 19 + 18 Combine like terms: 19 + 18 = 37 -8v = 37 Divide each side by '-8'. v = -4.625 Simplifying v = -4.625
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