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Simplifying -5v + -19 = 6(v + 6) Reorder the terms: -19 + -5v = 6(v + 6) Reorder the terms: -19 + -5v = 6(6 + v) -19 + -5v = (6 * 6 + v * 6) -19 + -5v = (36 + 6v) Solving -19 + -5v = 36 + 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. -19 + -5v + -6v = 36 + 6v + -6v Combine like terms: -5v + -6v = -11v -19 + -11v = 36 + 6v + -6v Combine like terms: 6v + -6v = 0 -19 + -11v = 36 + 0 -19 + -11v = 36 Add '19' to each side of the equation. -19 + 19 + -11v = 36 + 19 Combine like terms: -19 + 19 = 0 0 + -11v = 36 + 19 -11v = 36 + 19 Combine like terms: 36 + 19 = 55 -11v = 55 Divide each side by '-11'. v = -5 Simplifying v = -5
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