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Simplifying 6v + -41 = -5(v + 6) Reorder the terms: -41 + 6v = -5(v + 6) Reorder the terms: -41 + 6v = -5(6 + v) -41 + 6v = (6 * -5 + v * -5) -41 + 6v = (-30 + -5v) Solving -41 + 6v = -30 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -41 + 6v + 5v = -30 + -5v + 5v Combine like terms: 6v + 5v = 11v -41 + 11v = -30 + -5v + 5v Combine like terms: -5v + 5v = 0 -41 + 11v = -30 + 0 -41 + 11v = -30 Add '41' to each side of the equation. -41 + 41 + 11v = -30 + 41 Combine like terms: -41 + 41 = 0 0 + 11v = -30 + 41 11v = -30 + 41 Combine like terms: -30 + 41 = 11 11v = 11 Divide each side by '11'. v = 1 Simplifying v = 1
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