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Simplifying 6(v + -5) = 10 + 7 Reorder the terms: 6(-5 + v) = 10 + 7 (-5 * 6 + v * 6) = 10 + 7 (-30 + 6v) = 10 + 7 Combine like terms: 10 + 7 = 17 -30 + 6v = 17 Solving -30 + 6v = 17 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 6v = 17 + 30 Combine like terms: -30 + 30 = 0 0 + 6v = 17 + 30 6v = 17 + 30 Combine like terms: 17 + 30 = 47 6v = 47 Divide each side by '6'. v = 7.833333333 Simplifying v = 7.833333333
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