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Simplifying 7(v + 6) = 3v + 34 Reorder the terms: 7(6 + v) = 3v + 34 (6 * 7 + v * 7) = 3v + 34 (42 + 7v) = 3v + 34 Reorder the terms: 42 + 7v = 34 + 3v Solving 42 + 7v = 34 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 42 + 7v + -3v = 34 + 3v + -3v Combine like terms: 7v + -3v = 4v 42 + 4v = 34 + 3v + -3v Combine like terms: 3v + -3v = 0 42 + 4v = 34 + 0 42 + 4v = 34 Add '-42' to each side of the equation. 42 + -42 + 4v = 34 + -42 Combine like terms: 42 + -42 = 0 0 + 4v = 34 + -42 4v = 34 + -42 Combine like terms: 34 + -42 = -8 4v = -8 Divide each side by '4'. v = -2 Simplifying v = -2
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