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Simplifying -31 + -4v = 7(9v + -2) Reorder the terms: -31 + -4v = 7(-2 + 9v) -31 + -4v = (-2 * 7 + 9v * 7) -31 + -4v = (-14 + 63v) Solving -31 + -4v = -14 + 63v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-63v' to each side of the equation. -31 + -4v + -63v = -14 + 63v + -63v Combine like terms: -4v + -63v = -67v -31 + -67v = -14 + 63v + -63v Combine like terms: 63v + -63v = 0 -31 + -67v = -14 + 0 -31 + -67v = -14 Add '31' to each side of the equation. -31 + 31 + -67v = -14 + 31 Combine like terms: -31 + 31 = 0 0 + -67v = -14 + 31 -67v = -14 + 31 Combine like terms: -14 + 31 = 17 -67v = 17 Divide each side by '-67'. v = -0.2537313433 Simplifying v = -0.2537313433
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