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Simplifying 5(3v + -7) + 2(3v + 2) = 74 Reorder the terms: 5(-7 + 3v) + 2(3v + 2) = 74 (-7 * 5 + 3v * 5) + 2(3v + 2) = 74 (-35 + 15v) + 2(3v + 2) = 74 Reorder the terms: -35 + 15v + 2(2 + 3v) = 74 -35 + 15v + (2 * 2 + 3v * 2) = 74 -35 + 15v + (4 + 6v) = 74 Reorder the terms: -35 + 4 + 15v + 6v = 74 Combine like terms: -35 + 4 = -31 -31 + 15v + 6v = 74 Combine like terms: 15v + 6v = 21v -31 + 21v = 74 Solving -31 + 21v = 74 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 21v = 74 + 31 Combine like terms: -31 + 31 = 0 0 + 21v = 74 + 31 21v = 74 + 31 Combine like terms: 74 + 31 = 105 21v = 105 Divide each side by '21'. v = 5 Simplifying v = 5
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