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Simplifying 4(7 + 4v) + -7(8v + -2) = 0 (7 * 4 + 4v * 4) + -7(8v + -2) = 0 (28 + 16v) + -7(8v + -2) = 0 Reorder the terms: 28 + 16v + -7(-2 + 8v) = 0 28 + 16v + (-2 * -7 + 8v * -7) = 0 28 + 16v + (14 + -56v) = 0 Reorder the terms: 28 + 14 + 16v + -56v = 0 Combine like terms: 28 + 14 = 42 42 + 16v + -56v = 0 Combine like terms: 16v + -56v = -40v 42 + -40v = 0 Solving 42 + -40v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -40v = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -40v = 0 + -42 -40v = 0 + -42 Combine like terms: 0 + -42 = -42 -40v = -42 Divide each side by '-40'. v = 1.05 Simplifying v = 1.05
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