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Simplifying -3v + -22 = 8(-1v + 1) Reorder the terms: -22 + -3v = 8(-1v + 1) Reorder the terms: -22 + -3v = 8(1 + -1v) -22 + -3v = (1 * 8 + -1v * 8) -22 + -3v = (8 + -8v) Solving -22 + -3v = 8 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -22 + -3v + 8v = 8 + -8v + 8v Combine like terms: -3v + 8v = 5v -22 + 5v = 8 + -8v + 8v Combine like terms: -8v + 8v = 0 -22 + 5v = 8 + 0 -22 + 5v = 8 Add '22' to each side of the equation. -22 + 22 + 5v = 8 + 22 Combine like terms: -22 + 22 = 0 0 + 5v = 8 + 22 5v = 8 + 22 Combine like terms: 8 + 22 = 30 5v = 30 Divide each side by '5'. v = 6 Simplifying v = 6
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