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Simplifying 5(5v + 7) + -4(3v + 2) = 0 Reorder the terms: 5(7 + 5v) + -4(3v + 2) = 0 (7 * 5 + 5v * 5) + -4(3v + 2) = 0 (35 + 25v) + -4(3v + 2) = 0 Reorder the terms: 35 + 25v + -4(2 + 3v) = 0 35 + 25v + (2 * -4 + 3v * -4) = 0 35 + 25v + (-8 + -12v) = 0 Reorder the terms: 35 + -8 + 25v + -12v = 0 Combine like terms: 35 + -8 = 27 27 + 25v + -12v = 0 Combine like terms: 25v + -12v = 13v 27 + 13v = 0 Solving 27 + 13v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 13v = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 13v = 0 + -27 13v = 0 + -27 Combine like terms: 0 + -27 = -27 13v = -27 Divide each side by '13'. v = -2.076923077 Simplifying v = -2.076923077
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