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Simplifying 6v + 22 = -4(v + 7) Reorder the terms: 22 + 6v = -4(v + 7) Reorder the terms: 22 + 6v = -4(7 + v) 22 + 6v = (7 * -4 + v * -4) 22 + 6v = (-28 + -4v) Solving 22 + 6v = -28 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 22 + 6v + 4v = -28 + -4v + 4v Combine like terms: 6v + 4v = 10v 22 + 10v = -28 + -4v + 4v Combine like terms: -4v + 4v = 0 22 + 10v = -28 + 0 22 + 10v = -28 Add '-22' to each side of the equation. 22 + -22 + 10v = -28 + -22 Combine like terms: 22 + -22 = 0 0 + 10v = -28 + -22 10v = -28 + -22 Combine like terms: -28 + -22 = -50 10v = -50 Divide each side by '10'. v = -5 Simplifying v = -5
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