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Simplifying 7(v + -4) + -3v = -32 Reorder the terms: 7(-4 + v) + -3v = -32 (-4 * 7 + v * 7) + -3v = -32 (-28 + 7v) + -3v = -32 Combine like terms: 7v + -3v = 4v -28 + 4v = -32 Solving -28 + 4v = -32 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 4v = -32 + 28 Combine like terms: -28 + 28 = 0 0 + 4v = -32 + 28 4v = -32 + 28 Combine like terms: -32 + 28 = -4 4v = -4 Divide each side by '4'. v = -1 Simplifying v = -1
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