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Simplifying 8v + -24 = 3(8v + 2) + -6v Reorder the terms: -24 + 8v = 3(8v + 2) + -6v Reorder the terms: -24 + 8v = 3(2 + 8v) + -6v -24 + 8v = (2 * 3 + 8v * 3) + -6v -24 + 8v = (6 + 24v) + -6v Combine like terms: 24v + -6v = 18v -24 + 8v = 6 + 18v Solving -24 + 8v = 6 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. -24 + 8v + -18v = 6 + 18v + -18v Combine like terms: 8v + -18v = -10v -24 + -10v = 6 + 18v + -18v Combine like terms: 18v + -18v = 0 -24 + -10v = 6 + 0 -24 + -10v = 6 Add '24' to each side of the equation. -24 + 24 + -10v = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -10v = 6 + 24 -10v = 6 + 24 Combine like terms: 6 + 24 = 30 -10v = 30 Divide each side by '-10'. v = -3 Simplifying v = -3
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