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Simplifying 4v + 7(-5 + -4v) = 29 + -8v 4v + (-5 * 7 + -4v * 7) = 29 + -8v 4v + (-35 + -28v) = 29 + -8v Reorder the terms: -35 + 4v + -28v = 29 + -8v Combine like terms: 4v + -28v = -24v -35 + -24v = 29 + -8v Solving -35 + -24v = 29 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -35 + -24v + 8v = 29 + -8v + 8v Combine like terms: -24v + 8v = -16v -35 + -16v = 29 + -8v + 8v Combine like terms: -8v + 8v = 0 -35 + -16v = 29 + 0 -35 + -16v = 29 Add '35' to each side of the equation. -35 + 35 + -16v = 29 + 35 Combine like terms: -35 + 35 = 0 0 + -16v = 29 + 35 -16v = 29 + 35 Combine like terms: 29 + 35 = 64 -16v = 64 Divide each side by '-16'. v = -4 Simplifying v = -4
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