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Simplifying 3(v + -7) + 5v = 35 Reorder the terms: 3(-7 + v) + 5v = 35 (-7 * 3 + v * 3) + 5v = 35 (-21 + 3v) + 5v = 35 Combine like terms: 3v + 5v = 8v -21 + 8v = 35 Solving -21 + 8v = 35 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 8v = 35 + 21 Combine like terms: -21 + 21 = 0 0 + 8v = 35 + 21 8v = 35 + 21 Combine like terms: 35 + 21 = 56 8v = 56 Divide each side by '8'. v = 7 Simplifying v = 7
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