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