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Simplifying -5(v + 2) = -3(8v + -2) + 5 Reorder the terms: -5(2 + v) = -3(8v + -2) + 5 (2 * -5 + v * -5) = -3(8v + -2) + 5 (-10 + -5v) = -3(8v + -2) + 5 Reorder the terms: -10 + -5v = -3(-2 + 8v) + 5 -10 + -5v = (-2 * -3 + 8v * -3) + 5 -10 + -5v = (6 + -24v) + 5 Reorder the terms: -10 + -5v = 6 + 5 + -24v Combine like terms: 6 + 5 = 11 -10 + -5v = 11 + -24v Solving -10 + -5v = 11 + -24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24v' to each side of the equation. -10 + -5v + 24v = 11 + -24v + 24v Combine like terms: -5v + 24v = 19v -10 + 19v = 11 + -24v + 24v Combine like terms: -24v + 24v = 0 -10 + 19v = 11 + 0 -10 + 19v = 11 Add '10' to each side of the equation. -10 + 10 + 19v = 11 + 10 Combine like terms: -10 + 10 = 0 0 + 19v = 11 + 10 19v = 11 + 10 Combine like terms: 11 + 10 = 21 19v = 21 Divide each side by '19'. v = 1.105263158 Simplifying v = 1.105263158
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