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Simplifying -8(v + -1) = 2v + -22 Reorder the terms: -8(-1 + v) = 2v + -22 (-1 * -8 + v * -8) = 2v + -22 (8 + -8v) = 2v + -22 Reorder the terms: 8 + -8v = -22 + 2v Solving 8 + -8v = -22 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 8 + -8v + -2v = -22 + 2v + -2v Combine like terms: -8v + -2v = -10v 8 + -10v = -22 + 2v + -2v Combine like terms: 2v + -2v = 0 8 + -10v = -22 + 0 8 + -10v = -22 Add '-8' to each side of the equation. 8 + -8 + -10v = -22 + -8 Combine like terms: 8 + -8 = 0 0 + -10v = -22 + -8 -10v = -22 + -8 Combine like terms: -22 + -8 = -30 -10v = -30 Divide each side by '-10'. v = 3 Simplifying v = 3
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