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Simplifying 4(v + -8) + -8v = -28 Reorder the terms: 4(-8 + v) + -8v = -28 (-8 * 4 + v * 4) + -8v = -28 (-32 + 4v) + -8v = -28 Combine like terms: 4v + -8v = -4v -32 + -4v = -28 Solving -32 + -4v = -28 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 + -4v = -28 + 32 Combine like terms: -32 + 32 = 0 0 + -4v = -28 + 32 -4v = -28 + 32 Combine like terms: -28 + 32 = 4 -4v = 4 Divide each side by '-4'. v = -1 Simplifying v = -1
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