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Simplifying 2(3v + -4) + 7v = 83 Reorder the terms: 2(-4 + 3v) + 7v = 83 (-4 * 2 + 3v * 2) + 7v = 83 (-8 + 6v) + 7v = 83 Combine like terms: 6v + 7v = 13v -8 + 13v = 83 Solving -8 + 13v = 83 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 13v = 83 + 8 Combine like terms: -8 + 8 = 0 0 + 13v = 83 + 8 13v = 83 + 8 Combine like terms: 83 + 8 = 91 13v = 91 Divide each side by '13'. v = 7 Simplifying v = 7
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