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Simplifying -110 = 4v + -6(v + 5) Reorder the terms: -110 = 4v + -6(5 + v) -110 = 4v + (5 * -6 + v * -6) -110 = 4v + (-30 + -6v) Reorder the terms: -110 = -30 + 4v + -6v Combine like terms: 4v + -6v = -2v -110 = -30 + -2v Solving -110 = -30 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -110 + 2v = -30 + -2v + 2v Combine like terms: -2v + 2v = 0 -110 + 2v = -30 + 0 -110 + 2v = -30 Add '110' to each side of the equation. -110 + 110 + 2v = -30 + 110 Combine like terms: -110 + 110 = 0 0 + 2v = -30 + 110 2v = -30 + 110 Combine like terms: -30 + 110 = 80 2v = 80 Divide each side by '2'. v = 40 Simplifying v = 40
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