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Simplifying 5v + 22 = 9(v + 6) Reorder the terms: 22 + 5v = 9(v + 6) Reorder the terms: 22 + 5v = 9(6 + v) 22 + 5v = (6 * 9 + v * 9) 22 + 5v = (54 + 9v) Solving 22 + 5v = 54 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 22 + 5v + -9v = 54 + 9v + -9v Combine like terms: 5v + -9v = -4v 22 + -4v = 54 + 9v + -9v Combine like terms: 9v + -9v = 0 22 + -4v = 54 + 0 22 + -4v = 54 Add '-22' to each side of the equation. 22 + -22 + -4v = 54 + -22 Combine like terms: 22 + -22 = 0 0 + -4v = 54 + -22 -4v = 54 + -22 Combine like terms: 54 + -22 = 32 -4v = 32 Divide each side by '-4'. v = -8 Simplifying v = -8
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