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Simplifying 7(v + -1) + -7(10v + -8) = 0 Reorder the terms: 7(-1 + v) + -7(10v + -8) = 0 (-1 * 7 + v * 7) + -7(10v + -8) = 0 (-7 + 7v) + -7(10v + -8) = 0 Reorder the terms: -7 + 7v + -7(-8 + 10v) = 0 -7 + 7v + (-8 * -7 + 10v * -7) = 0 -7 + 7v + (56 + -70v) = 0 Reorder the terms: -7 + 56 + 7v + -70v = 0 Combine like terms: -7 + 56 = 49 49 + 7v + -70v = 0 Combine like terms: 7v + -70v = -63v 49 + -63v = 0 Solving 49 + -63v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -63v = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -63v = 0 + -49 -63v = 0 + -49 Combine like terms: 0 + -49 = -49 -63v = -49 Divide each side by '-63'. v = 0.7777777778 Simplifying v = 0.7777777778
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