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Simplifying 7(-7v + 4) + 4(2v + 8) = 0 Reorder the terms: 7(4 + -7v) + 4(2v + 8) = 0 (4 * 7 + -7v * 7) + 4(2v + 8) = 0 (28 + -49v) + 4(2v + 8) = 0 Reorder the terms: 28 + -49v + 4(8 + 2v) = 0 28 + -49v + (8 * 4 + 2v * 4) = 0 28 + -49v + (32 + 8v) = 0 Reorder the terms: 28 + 32 + -49v + 8v = 0 Combine like terms: 28 + 32 = 60 60 + -49v + 8v = 0 Combine like terms: -49v + 8v = -41v 60 + -41v = 0 Solving 60 + -41v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -41v = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -41v = 0 + -60 -41v = 0 + -60 Combine like terms: 0 + -60 = -60 -41v = -60 Divide each side by '-41'. v = 1.463414634 Simplifying v = 1.463414634
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