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Simplifying 4v + -22 = -4 + -6(v + -2) Reorder the terms: -22 + 4v = -4 + -6(v + -2) Reorder the terms: -22 + 4v = -4 + -6(-2 + v) -22 + 4v = -4 + (-2 * -6 + v * -6) -22 + 4v = -4 + (12 + -6v) Combine like terms: -4 + 12 = 8 -22 + 4v = 8 + -6v Solving -22 + 4v = 8 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -22 + 4v + 6v = 8 + -6v + 6v Combine like terms: 4v + 6v = 10v -22 + 10v = 8 + -6v + 6v Combine like terms: -6v + 6v = 0 -22 + 10v = 8 + 0 -22 + 10v = 8 Add '22' to each side of the equation. -22 + 22 + 10v = 8 + 22 Combine like terms: -22 + 22 = 0 0 + 10v = 8 + 22 10v = 8 + 22 Combine like terms: 8 + 22 = 30 10v = 30 Divide each side by '10'. v = 3 Simplifying v = 3
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