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Simplifying -6v + 2(-4 + 3v) = -22 + 7v -6v + (-4 * 2 + 3v * 2) = -22 + 7v -6v + (-8 + 6v) = -22 + 7v Reorder the terms: -8 + -6v + 6v = -22 + 7v Combine like terms: -6v + 6v = 0 -8 + 0 = -22 + 7v -8 = -22 + 7v Solving -8 = -22 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -8 + -7v = -22 + 7v + -7v Combine like terms: 7v + -7v = 0 -8 + -7v = -22 + 0 -8 + -7v = -22 Add '8' to each side of the equation. -8 + 8 + -7v = -22 + 8 Combine like terms: -8 + 8 = 0 0 + -7v = -22 + 8 -7v = -22 + 8 Combine like terms: -22 + 8 = -14 -7v = -14 Divide each side by '-7'. v = 2 Simplifying v = 2
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