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Simplifying -4(v + -8) = 3v + -31 Reorder the terms: -4(-8 + v) = 3v + -31 (-8 * -4 + v * -4) = 3v + -31 (32 + -4v) = 3v + -31 Reorder the terms: 32 + -4v = -31 + 3v Solving 32 + -4v = -31 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 32 + -4v + -3v = -31 + 3v + -3v Combine like terms: -4v + -3v = -7v 32 + -7v = -31 + 3v + -3v Combine like terms: 3v + -3v = 0 32 + -7v = -31 + 0 32 + -7v = -31 Add '-32' to each side of the equation. 32 + -32 + -7v = -31 + -32 Combine like terms: 32 + -32 = 0 0 + -7v = -31 + -32 -7v = -31 + -32 Combine like terms: -31 + -32 = -63 -7v = -63 Divide each side by '-7'. v = 9 Simplifying v = 9
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