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Simplifying -5v + -24 = 3(-8v + -8) + -5v Reorder the terms: -24 + -5v = 3(-8v + -8) + -5v Reorder the terms: -24 + -5v = 3(-8 + -8v) + -5v -24 + -5v = (-8 * 3 + -8v * 3) + -5v -24 + -5v = (-24 + -24v) + -5v Combine like terms: -24v + -5v = -29v -24 + -5v = -24 + -29v Add '24' to each side of the equation. -24 + 24 + -5v = -24 + 24 + -29v Combine like terms: -24 + 24 = 0 0 + -5v = -24 + 24 + -29v -5v = -24 + 24 + -29v Combine like terms: -24 + 24 = 0 -5v = 0 + -29v -5v = -29v Solving -5v = -29v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '29v' to each side of the equation. -5v + 29v = -29v + 29v Combine like terms: -5v + 29v = 24v 24v = -29v + 29v Combine like terms: -29v + 29v = 0 24v = 0 Divide each side by '24'. v = 0 Simplifying v = 0
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