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Simplifying 22 + -2v = 4(8v + -3) Reorder the terms: 22 + -2v = 4(-3 + 8v) 22 + -2v = (-3 * 4 + 8v * 4) 22 + -2v = (-12 + 32v) Solving 22 + -2v = -12 + 32v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32v' to each side of the equation. 22 + -2v + -32v = -12 + 32v + -32v Combine like terms: -2v + -32v = -34v 22 + -34v = -12 + 32v + -32v Combine like terms: 32v + -32v = 0 22 + -34v = -12 + 0 22 + -34v = -12 Add '-22' to each side of the equation. 22 + -22 + -34v = -12 + -22 Combine like terms: 22 + -22 = 0 0 + -34v = -12 + -22 -34v = -12 + -22 Combine like terms: -12 + -22 = -34 -34v = -34 Divide each side by '-34'. v = 1 Simplifying v = 1
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