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Simplifying 22 = 4 + 3(v + -9) Reorder the terms: 22 = 4 + 3(-9 + v) 22 = 4 + (-9 * 3 + v * 3) 22 = 4 + (-27 + 3v) Combine like terms: 4 + -27 = -23 22 = -23 + 3v Solving 22 = -23 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 22 + -3v = -23 + 3v + -3v Combine like terms: 3v + -3v = 0 22 + -3v = -23 + 0 22 + -3v = -23 Add '-22' to each side of the equation. 22 + -22 + -3v = -23 + -22 Combine like terms: 22 + -22 = 0 0 + -3v = -23 + -22 -3v = -23 + -22 Combine like terms: -23 + -22 = -45 -3v = -45 Divide each side by '-3'. v = 15 Simplifying v = 15
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