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Simplifying 4(v + 1) = 6v + -22 Reorder the terms: 4(1 + v) = 6v + -22 (1 * 4 + v * 4) = 6v + -22 (4 + 4v) = 6v + -22 Reorder the terms: 4 + 4v = -22 + 6v Solving 4 + 4v = -22 + 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. 4 + 4v + -6v = -22 + 6v + -6v Combine like terms: 4v + -6v = -2v 4 + -2v = -22 + 6v + -6v Combine like terms: 6v + -6v = 0 4 + -2v = -22 + 0 4 + -2v = -22 Add '-4' to each side of the equation. 4 + -4 + -2v = -22 + -4 Combine like terms: 4 + -4 = 0 0 + -2v = -22 + -4 -2v = -22 + -4 Combine like terms: -22 + -4 = -26 -2v = -26 Divide each side by '-2'. v = 13 Simplifying v = 13
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