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Simplifying 2(v + -5) + -7v = 35 Reorder the terms: 2(-5 + v) + -7v = 35 (-5 * 2 + v * 2) + -7v = 35 (-10 + 2v) + -7v = 35 Combine like terms: 2v + -7v = -5v -10 + -5v = 35 Solving -10 + -5v = 35 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -5v = 35 + 10 Combine like terms: -10 + 10 = 0 0 + -5v = 35 + 10 -5v = 35 + 10 Combine like terms: 35 + 10 = 45 -5v = 45 Divide each side by '-5'. v = -9 Simplifying v = -9
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