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Simplifying 34 + 3v = 6(v + 6) + 4 Reorder the terms: 34 + 3v = 6(6 + v) + 4 34 + 3v = (6 * 6 + v * 6) + 4 34 + 3v = (36 + 6v) + 4 Reorder the terms: 34 + 3v = 36 + 4 + 6v Combine like terms: 36 + 4 = 40 34 + 3v = 40 + 6v Solving 34 + 3v = 40 + 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 + 3v + -6v = 40 + 6v + -6v Combine like terms: 3v + -6v = -3v 34 + -3v = 40 + 6v + -6v Combine like terms: 6v + -6v = 0 34 + -3v = 40 + 0 34 + -3v = 40 Add '-34' to each side of the equation. 34 + -34 + -3v = 40 + -34 Combine like terms: 34 + -34 = 0 0 + -3v = 40 + -34 -3v = 40 + -34 Combine like terms: 40 + -34 = 6 -3v = 6 Divide each side by '-3'. v = -2 Simplifying v = -2
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