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Simplifying -4(v + 3) + 2v + 6 = 5v + 11 Reorder the terms: -4(3 + v) + 2v + 6 = 5v + 11 (3 * -4 + v * -4) + 2v + 6 = 5v + 11 (-12 + -4v) + 2v + 6 = 5v + 11 Reorder the terms: -12 + 6 + -4v + 2v = 5v + 11 Combine like terms: -12 + 6 = -6 -6 + -4v + 2v = 5v + 11 Combine like terms: -4v + 2v = -2v -6 + -2v = 5v + 11 Reorder the terms: -6 + -2v = 11 + 5v Solving -6 + -2v = 11 + 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. -6 + -2v + -5v = 11 + 5v + -5v Combine like terms: -2v + -5v = -7v -6 + -7v = 11 + 5v + -5v Combine like terms: 5v + -5v = 0 -6 + -7v = 11 + 0 -6 + -7v = 11 Add '6' to each side of the equation. -6 + 6 + -7v = 11 + 6 Combine like terms: -6 + 6 = 0 0 + -7v = 11 + 6 -7v = 11 + 6 Combine like terms: 11 + 6 = 17 -7v = 17 Divide each side by '-7'. v = -2.428571429 Simplifying v = -2.428571429
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