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Simplifying 5(v + -7) + 8v = 30 Reorder the terms: 5(-7 + v) + 8v = 30 (-7 * 5 + v * 5) + 8v = 30 (-35 + 5v) + 8v = 30 Combine like terms: 5v + 8v = 13v -35 + 13v = 30 Solving -35 + 13v = 30 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 13v = 30 + 35 Combine like terms: -35 + 35 = 0 0 + 13v = 30 + 35 13v = 30 + 35 Combine like terms: 30 + 35 = 65 13v = 65 Divide each side by '13'. v = 5 Simplifying v = 5
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