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Simplifying 5(10 + v) = -6(v + 10) (10 * 5 + v * 5) = -6(v + 10) (50 + 5v) = -6(v + 10) Reorder the terms: 50 + 5v = -6(10 + v) 50 + 5v = (10 * -6 + v * -6) 50 + 5v = (-60 + -6v) Solving 50 + 5v = -60 + -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. 50 + 5v + 6v = -60 + -6v + 6v Combine like terms: 5v + 6v = 11v 50 + 11v = -60 + -6v + 6v Combine like terms: -6v + 6v = 0 50 + 11v = -60 + 0 50 + 11v = -60 Add '-50' to each side of the equation. 50 + -50 + 11v = -60 + -50 Combine like terms: 50 + -50 = 0 0 + 11v = -60 + -50 11v = -60 + -50 Combine like terms: -60 + -50 = -110 11v = -110 Divide each side by '11'. v = -10 Simplifying v = -10
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