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Simplifying 3(5v + -2) + 4(2v + 7) = 68 Reorder the terms: 3(-2 + 5v) + 4(2v + 7) = 68 (-2 * 3 + 5v * 3) + 4(2v + 7) = 68 (-6 + 15v) + 4(2v + 7) = 68 Reorder the terms: -6 + 15v + 4(7 + 2v) = 68 -6 + 15v + (7 * 4 + 2v * 4) = 68 -6 + 15v + (28 + 8v) = 68 Reorder the terms: -6 + 28 + 15v + 8v = 68 Combine like terms: -6 + 28 = 22 22 + 15v + 8v = 68 Combine like terms: 15v + 8v = 23v 22 + 23v = 68 Solving 22 + 23v = 68 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 23v = 68 + -22 Combine like terms: 22 + -22 = 0 0 + 23v = 68 + -22 23v = 68 + -22 Combine like terms: 68 + -22 = 46 23v = 46 Divide each side by '23'. v = 2 Simplifying v = 2
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