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Simplifying 11 + -1(2v + 4) = 2v + -7 Reorder the terms: 11 + -1(4 + 2v) = 2v + -7 11 + (4 * -1 + 2v * -1) = 2v + -7 11 + (-4 + -2v) = 2v + -7 Combine like terms: 11 + -4 = 7 7 + -2v = 2v + -7 Reorder the terms: 7 + -2v = -7 + 2v Solving 7 + -2v = -7 + 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. 7 + -2v + -2v = -7 + 2v + -2v Combine like terms: -2v + -2v = -4v 7 + -4v = -7 + 2v + -2v Combine like terms: 2v + -2v = 0 7 + -4v = -7 + 0 7 + -4v = -7 Add '-7' to each side of the equation. 7 + -7 + -4v = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -4v = -7 + -7 -4v = -7 + -7 Combine like terms: -7 + -7 = -14 -4v = -14 Divide each side by '-4'. v = 3.5 Simplifying v = 3.5
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