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Simplifying 6(5 + -4v) = 84 + -6v (5 * 6 + -4v * 6) = 84 + -6v (30 + -24v) = 84 + -6v Solving 30 + -24v = 84 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 30 + -24v + 6v = 84 + -6v + 6v Combine like terms: -24v + 6v = -18v 30 + -18v = 84 + -6v + 6v Combine like terms: -6v + 6v = 0 30 + -18v = 84 + 0 30 + -18v = 84 Add '-30' to each side of the equation. 30 + -30 + -18v = 84 + -30 Combine like terms: 30 + -30 = 0 0 + -18v = 84 + -30 -18v = 84 + -30 Combine like terms: 84 + -30 = 54 -18v = 54 Divide each side by '-18'. v = -3 Simplifying v = -3
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