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Simplifying 4v + -11 = 10 + 2(v + 9) Reorder the terms: -11 + 4v = 10 + 2(v + 9) Reorder the terms: -11 + 4v = 10 + 2(9 + v) -11 + 4v = 10 + (9 * 2 + v * 2) -11 + 4v = 10 + (18 + 2v) Combine like terms: 10 + 18 = 28 -11 + 4v = 28 + 2v Solving -11 + 4v = 28 + 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. -11 + 4v + -2v = 28 + 2v + -2v Combine like terms: 4v + -2v = 2v -11 + 2v = 28 + 2v + -2v Combine like terms: 2v + -2v = 0 -11 + 2v = 28 + 0 -11 + 2v = 28 Add '11' to each side of the equation. -11 + 11 + 2v = 28 + 11 Combine like terms: -11 + 11 = 0 0 + 2v = 28 + 11 2v = 28 + 11 Combine like terms: 28 + 11 = 39 2v = 39 Divide each side by '2'. v = 19.5 Simplifying v = 19.5
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