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Simplifying 5(6v + 4) + -6(v + 1) = 14 Reorder the terms: 5(4 + 6v) + -6(v + 1) = 14 (4 * 5 + 6v * 5) + -6(v + 1) = 14 (20 + 30v) + -6(v + 1) = 14 Reorder the terms: 20 + 30v + -6(1 + v) = 14 20 + 30v + (1 * -6 + v * -6) = 14 20 + 30v + (-6 + -6v) = 14 Reorder the terms: 20 + -6 + 30v + -6v = 14 Combine like terms: 20 + -6 = 14 14 + 30v + -6v = 14 Combine like terms: 30v + -6v = 24v 14 + 24v = 14 Add '-14' to each side of the equation. 14 + -14 + 24v = 14 + -14 Combine like terms: 14 + -14 = 0 0 + 24v = 14 + -14 24v = 14 + -14 Combine like terms: 14 + -14 = 0 24v = 0 Solving 24v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Divide each side by '24'. v = 0 Simplifying v = 0
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