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Simplifying -5v + 22 = 2(v + -3) Reorder the terms: 22 + -5v = 2(v + -3) Reorder the terms: 22 + -5v = 2(-3 + v) 22 + -5v = (-3 * 2 + v * 2) 22 + -5v = (-6 + 2v) Solving 22 + -5v = -6 + 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 = -6 + 2v + -2v Combine like terms: -5v + -2v = -7v 22 + -7v = -6 + 2v + -2v Combine like terms: 2v + -2v = 0 22 + -7v = -6 + 0 22 + -7v = -6 Add '-22' to each side of the equation. 22 + -22 + -7v = -6 + -22 Combine like terms: 22 + -22 = 0 0 + -7v = -6 + -22 -7v = -6 + -22 Combine like terms: -6 + -22 = -28 -7v = -28 Divide each side by '-7'. v = 4 Simplifying v = 4
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