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Simplifying 5v + -41 = -6(v + -6) Reorder the terms: -41 + 5v = -6(v + -6) Reorder the terms: -41 + 5v = -6(-6 + v) -41 + 5v = (-6 * -6 + v * -6) -41 + 5v = (36 + -6v) Solving -41 + 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. -41 + 5v + 6v = 36 + -6v + 6v Combine like terms: 5v + 6v = 11v -41 + 11v = 36 + -6v + 6v Combine like terms: -6v + 6v = 0 -41 + 11v = 36 + 0 -41 + 11v = 36 Add '41' to each side of the equation. -41 + 41 + 11v = 36 + 41 Combine like terms: -41 + 41 = 0 0 + 11v = 36 + 41 11v = 36 + 41 Combine like terms: 36 + 41 = 77 11v = 77 Divide each side by '11'. v = 7 Simplifying v = 7
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