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Simplifying 4v + 34 = 6(v + 7) Reorder the terms: 34 + 4v = 6(v + 7) Reorder the terms: 34 + 4v = 6(7 + v) 34 + 4v = (7 * 6 + v * 6) 34 + 4v = (42 + 6v) Solving 34 + 4v = 42 + 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. 34 + 4v + -6v = 42 + 6v + -6v Combine like terms: 4v + -6v = -2v 34 + -2v = 42 + 6v + -6v Combine like terms: 6v + -6v = 0 34 + -2v = 42 + 0 34 + -2v = 42 Add '-34' to each side of the equation. 34 + -34 + -2v = 42 + -34 Combine like terms: 34 + -34 = 0 0 + -2v = 42 + -34 -2v = 42 + -34 Combine like terms: 42 + -34 = 8 -2v = 8 Divide each side by '-2'. v = -4 Simplifying v = -4
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