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Simplifying -5(v + 3) + 3v + 6 = 5v + 11 Reorder the terms: -5(3 + v) + 3v + 6 = 5v + 11 (3 * -5 + v * -5) + 3v + 6 = 5v + 11 (-15 + -5v) + 3v + 6 = 5v + 11 Reorder the terms: -15 + 6 + -5v + 3v = 5v + 11 Combine like terms: -15 + 6 = -9 -9 + -5v + 3v = 5v + 11 Combine like terms: -5v + 3v = -2v -9 + -2v = 5v + 11 Reorder the terms: -9 + -2v = 11 + 5v Solving -9 + -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. -9 + -2v + -5v = 11 + 5v + -5v Combine like terms: -2v + -5v = -7v -9 + -7v = 11 + 5v + -5v Combine like terms: 5v + -5v = 0 -9 + -7v = 11 + 0 -9 + -7v = 11 Add '9' to each side of the equation. -9 + 9 + -7v = 11 + 9 Combine like terms: -9 + 9 = 0 0 + -7v = 11 + 9 -7v = 11 + 9 Combine like terms: 11 + 9 = 20 -7v = 20 Divide each side by '-7'. v = -2.857142857 Simplifying v = -2.857142857
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