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Simplifying -32 = 4(v + -2) + -7v Reorder the terms: -32 = 4(-2 + v) + -7v -32 = (-2 * 4 + v * 4) + -7v -32 = (-8 + 4v) + -7v Combine like terms: 4v + -7v = -3v -32 = -8 + -3v Solving -32 = -8 + -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 + 3v = -8 + -3v + 3v Combine like terms: -3v + 3v = 0 -32 + 3v = -8 + 0 -32 + 3v = -8 Add '32' to each side of the equation. -32 + 32 + 3v = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 3v = -8 + 32 3v = -8 + 32 Combine like terms: -8 + 32 = 24 3v = 24 Divide each side by '3'. v = 8 Simplifying v = 8
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