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Simplifying -31 + -8v = 4(5v + 6) Reorder the terms: -31 + -8v = 4(6 + 5v) -31 + -8v = (6 * 4 + 5v * 4) -31 + -8v = (24 + 20v) Solving -31 + -8v = 24 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. -31 + -8v + -20v = 24 + 20v + -20v Combine like terms: -8v + -20v = -28v -31 + -28v = 24 + 20v + -20v Combine like terms: 20v + -20v = 0 -31 + -28v = 24 + 0 -31 + -28v = 24 Add '31' to each side of the equation. -31 + 31 + -28v = 24 + 31 Combine like terms: -31 + 31 = 0 0 + -28v = 24 + 31 -28v = 24 + 31 Combine like terms: 24 + 31 = 55 -28v = 55 Divide each side by '-28'. v = -1.964285714 Simplifying v = -1.964285714
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