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Simplifying 5v + -22 = 2(v + -8) Reorder the terms: -22 + 5v = 2(v + -8) Reorder the terms: -22 + 5v = 2(-8 + v) -22 + 5v = (-8 * 2 + v * 2) -22 + 5v = (-16 + 2v) Solving -22 + 5v = -16 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -22 + 5v + -2v = -16 + 2v + -2v Combine like terms: 5v + -2v = 3v -22 + 3v = -16 + 2v + -2v Combine like terms: 2v + -2v = 0 -22 + 3v = -16 + 0 -22 + 3v = -16 Add '22' to each side of the equation. -22 + 22 + 3v = -16 + 22 Combine like terms: -22 + 22 = 0 0 + 3v = -16 + 22 3v = -16 + 22 Combine like terms: -16 + 22 = 6 3v = 6 Divide each side by '3'. v = 2 Simplifying v = 2
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