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Simplifying -6(8 + -6v) = v + 22 (8 * -6 + -6v * -6) = v + 22 (-48 + 36v) = v + 22 Reorder the terms: -48 + 36v = 22 + v Solving -48 + 36v = 22 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -48 + 36v + -1v = 22 + v + -1v Combine like terms: 36v + -1v = 35v -48 + 35v = 22 + v + -1v Combine like terms: v + -1v = 0 -48 + 35v = 22 + 0 -48 + 35v = 22 Add '48' to each side of the equation. -48 + 48 + 35v = 22 + 48 Combine like terms: -48 + 48 = 0 0 + 35v = 22 + 48 35v = 22 + 48 Combine like terms: 22 + 48 = 70 35v = 70 Divide each side by '35'. v = 2 Simplifying v = 2
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