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Simplifying 2(3v + 4) + 7v = 4 Reorder the terms: 2(4 + 3v) + 7v = 4 (4 * 2 + 3v * 2) + 7v = 4 (8 + 6v) + 7v = 4 Combine like terms: 6v + 7v = 13v 8 + 13v = 4 Solving 8 + 13v = 4 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 = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 13v = 4 + -8 13v = 4 + -8 Combine like terms: 4 + -8 = -4 13v = -4 Divide each side by '13'. v = -0.3076923077 Simplifying v = -0.3076923077
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