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Simplifying 2(7v + 8) + -7(7v + -5) = 0 Reorder the terms: 2(8 + 7v) + -7(7v + -5) = 0 (8 * 2 + 7v * 2) + -7(7v + -5) = 0 (16 + 14v) + -7(7v + -5) = 0 Reorder the terms: 16 + 14v + -7(-5 + 7v) = 0 16 + 14v + (-5 * -7 + 7v * -7) = 0 16 + 14v + (35 + -49v) = 0 Reorder the terms: 16 + 35 + 14v + -49v = 0 Combine like terms: 16 + 35 = 51 51 + 14v + -49v = 0 Combine like terms: 14v + -49v = -35v 51 + -35v = 0 Solving 51 + -35v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -35v = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -35v = 0 + -51 -35v = 0 + -51 Combine like terms: 0 + -51 = -51 -35v = -51 Divide each side by '-35'. v = 1.457142857 Simplifying v = 1.457142857
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