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Simplifying 4(v + -4) = 6v + -22 Reorder the terms: 4(-4 + v) = 6v + -22 (-4 * 4 + v * 4) = 6v + -22 (-16 + 4v) = 6v + -22 Reorder the terms: -16 + 4v = -22 + 6v Solving -16 + 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. -16 + 4v + -6v = -22 + 6v + -6v Combine like terms: 4v + -6v = -2v -16 + -2v = -22 + 6v + -6v Combine like terms: 6v + -6v = 0 -16 + -2v = -22 + 0 -16 + -2v = -22 Add '16' to each side of the equation. -16 + 16 + -2v = -22 + 16 Combine like terms: -16 + 16 = 0 0 + -2v = -22 + 16 -2v = -22 + 16 Combine like terms: -22 + 16 = -6 -2v = -6 Divide each side by '-2'. v = 3 Simplifying v = 3
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