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Simplifying 4(v + -7) + -8v = -24 Reorder the terms: 4(-7 + v) + -8v = -24 (-7 * 4 + v * 4) + -8v = -24 (-28 + 4v) + -8v = -24 Combine like terms: 4v + -8v = -4v -28 + -4v = -24 Solving -28 + -4v = -24 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 = -24 + 28 Combine like terms: -28 + 28 = 0 0 + -4v = -24 + 28 -4v = -24 + 28 Combine like terms: -24 + 28 = 4 -4v = 4 Divide each side by '-4'. v = -1 Simplifying v = -1
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