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Simplifying -5(v + 2) + 3v + 6 = 5v + 6 Reorder the terms: -5(2 + v) + 3v + 6 = 5v + 6 (2 * -5 + v * -5) + 3v + 6 = 5v + 6 (-10 + -5v) + 3v + 6 = 5v + 6 Reorder the terms: -10 + 6 + -5v + 3v = 5v + 6 Combine like terms: -10 + 6 = -4 -4 + -5v + 3v = 5v + 6 Combine like terms: -5v + 3v = -2v -4 + -2v = 5v + 6 Reorder the terms: -4 + -2v = 6 + 5v Solving -4 + -2v = 6 + 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. -4 + -2v + -5v = 6 + 5v + -5v Combine like terms: -2v + -5v = -7v -4 + -7v = 6 + 5v + -5v Combine like terms: 5v + -5v = 0 -4 + -7v = 6 + 0 -4 + -7v = 6 Add '4' to each side of the equation. -4 + 4 + -7v = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -7v = 6 + 4 -7v = 6 + 4 Combine like terms: 6 + 4 = 10 -7v = 10 Divide each side by '-7'. v = -1.428571429 Simplifying v = -1.428571429
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