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Simplifying -4(v + -3) = 9v + 38 Reorder the terms: -4(-3 + v) = 9v + 38 (-3 * -4 + v * -4) = 9v + 38 (12 + -4v) = 9v + 38 Reorder the terms: 12 + -4v = 38 + 9v Solving 12 + -4v = 38 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 12 + -4v + -9v = 38 + 9v + -9v Combine like terms: -4v + -9v = -13v 12 + -13v = 38 + 9v + -9v Combine like terms: 9v + -9v = 0 12 + -13v = 38 + 0 12 + -13v = 38 Add '-12' to each side of the equation. 12 + -12 + -13v = 38 + -12 Combine like terms: 12 + -12 = 0 0 + -13v = 38 + -12 -13v = 38 + -12 Combine like terms: 38 + -12 = 26 -13v = 26 Divide each side by '-13'. v = -2 Simplifying v = -2
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