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Simplifying 8v + -22 = 3(v + 1) Reorder the terms: -22 + 8v = 3(v + 1) Reorder the terms: -22 + 8v = 3(1 + v) -22 + 8v = (1 * 3 + v * 3) -22 + 8v = (3 + 3v) Solving -22 + 8v = 3 + 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 + 8v + -3v = 3 + 3v + -3v Combine like terms: 8v + -3v = 5v -22 + 5v = 3 + 3v + -3v Combine like terms: 3v + -3v = 0 -22 + 5v = 3 + 0 -22 + 5v = 3 Add '22' to each side of the equation. -22 + 22 + 5v = 3 + 22 Combine like terms: -22 + 22 = 0 0 + 5v = 3 + 22 5v = 3 + 22 Combine like terms: 3 + 22 = 25 5v = 25 Divide each side by '5'. v = 5 Simplifying v = 5
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