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Simplifying -4(v + 5) = 3v + 22 Reorder the terms: -4(5 + v) = 3v + 22 (5 * -4 + v * -4) = 3v + 22 (-20 + -4v) = 3v + 22 Reorder the terms: -20 + -4v = 22 + 3v Solving -20 + -4v = 22 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -20 + -4v + -3v = 22 + 3v + -3v Combine like terms: -4v + -3v = -7v -20 + -7v = 22 + 3v + -3v Combine like terms: 3v + -3v = 0 -20 + -7v = 22 + 0 -20 + -7v = 22 Add '20' to each side of the equation. -20 + 20 + -7v = 22 + 20 Combine like terms: -20 + 20 = 0 0 + -7v = 22 + 20 -7v = 22 + 20 Combine like terms: 22 + 20 = 42 -7v = 42 Divide each side by '-7'. v = -6 Simplifying v = -6
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