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Simplifying 4(v + 4) = 6v + 34 Reorder the terms: 4(4 + v) = 6v + 34 (4 * 4 + v * 4) = 6v + 34 (16 + 4v) = 6v + 34 Reorder the terms: 16 + 4v = 34 + 6v Solving 16 + 4v = 34 + 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 = 34 + 6v + -6v Combine like terms: 4v + -6v = -2v 16 + -2v = 34 + 6v + -6v Combine like terms: 6v + -6v = 0 16 + -2v = 34 + 0 16 + -2v = 34 Add '-16' to each side of the equation. 16 + -16 + -2v = 34 + -16 Combine like terms: 16 + -16 = 0 0 + -2v = 34 + -16 -2v = 34 + -16 Combine like terms: 34 + -16 = 18 -2v = 18 Divide each side by '-2'. v = -9 Simplifying v = -9
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