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Simplifying -8(v + 4) = 31 Reorder the terms: -8(4 + v) = 31 (4 * -8 + v * -8) = 31 (-32 + -8v) = 31 Solving -32 + -8v = 31 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -8v = 31 + 32 Combine like terms: -32 + 32 = 0 0 + -8v = 31 + 32 -8v = 31 + 32 Combine like terms: 31 + 32 = 63 -8v = 63 Divide each side by '-8'. v = -7.875 Simplifying v = -7.875
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