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Simplifying -34 = 4(v + -4) + 5v Reorder the terms: -34 = 4(-4 + v) + 5v -34 = (-4 * 4 + v * 4) + 5v -34 = (-16 + 4v) + 5v Combine like terms: 4v + 5v = 9v -34 = -16 + 9v Solving -34 = -16 + 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. -34 + -9v = -16 + 9v + -9v Combine like terms: 9v + -9v = 0 -34 + -9v = -16 + 0 -34 + -9v = -16 Add '34' to each side of the equation. -34 + 34 + -9v = -16 + 34 Combine like terms: -34 + 34 = 0 0 + -9v = -16 + 34 -9v = -16 + 34 Combine like terms: -16 + 34 = 18 -9v = 18 Divide each side by '-9'. v = -2 Simplifying v = -2
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