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Simplifying 11 + -1(2v + 3) = 5v + -5 Reorder the terms: 11 + -1(3 + 2v) = 5v + -5 11 + (3 * -1 + 2v * -1) = 5v + -5 11 + (-3 + -2v) = 5v + -5 Combine like terms: 11 + -3 = 8 8 + -2v = 5v + -5 Reorder the terms: 8 + -2v = -5 + 5v Solving 8 + -2v = -5 + 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. 8 + -2v + -5v = -5 + 5v + -5v Combine like terms: -2v + -5v = -7v 8 + -7v = -5 + 5v + -5v Combine like terms: 5v + -5v = 0 8 + -7v = -5 + 0 8 + -7v = -5 Add '-8' to each side of the equation. 8 + -8 + -7v = -5 + -8 Combine like terms: 8 + -8 = 0 0 + -7v = -5 + -8 -7v = -5 + -8 Combine like terms: -5 + -8 = -13 -7v = -13 Divide each side by '-7'. v = 1.857142857 Simplifying v = 1.857142857
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