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Simplifying -22 + -4v = 6(7v + 4) Reorder the terms: -22 + -4v = 6(4 + 7v) -22 + -4v = (4 * 6 + 7v * 6) -22 + -4v = (24 + 42v) Solving -22 + -4v = 24 + 42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42v' to each side of the equation. -22 + -4v + -42v = 24 + 42v + -42v Combine like terms: -4v + -42v = -46v -22 + -46v = 24 + 42v + -42v Combine like terms: 42v + -42v = 0 -22 + -46v = 24 + 0 -22 + -46v = 24 Add '22' to each side of the equation. -22 + 22 + -46v = 24 + 22 Combine like terms: -22 + 22 = 0 0 + -46v = 24 + 22 -46v = 24 + 22 Combine like terms: 24 + 22 = 46 -46v = 46 Divide each side by '-46'. v = -1 Simplifying v = -1
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