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Simplifying 5(v + -2) + -6 = 2(-8v + 7) + -3v Reorder the terms: 5(-2 + v) + -6 = 2(-8v + 7) + -3v (-2 * 5 + v * 5) + -6 = 2(-8v + 7) + -3v (-10 + 5v) + -6 = 2(-8v + 7) + -3v Reorder the terms: -10 + -6 + 5v = 2(-8v + 7) + -3v Combine like terms: -10 + -6 = -16 -16 + 5v = 2(-8v + 7) + -3v Reorder the terms: -16 + 5v = 2(7 + -8v) + -3v -16 + 5v = (7 * 2 + -8v * 2) + -3v -16 + 5v = (14 + -16v) + -3v Combine like terms: -16v + -3v = -19v -16 + 5v = 14 + -19v Solving -16 + 5v = 14 + -19v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '19v' to each side of the equation. -16 + 5v + 19v = 14 + -19v + 19v Combine like terms: 5v + 19v = 24v -16 + 24v = 14 + -19v + 19v Combine like terms: -19v + 19v = 0 -16 + 24v = 14 + 0 -16 + 24v = 14 Add '16' to each side of the equation. -16 + 16 + 24v = 14 + 16 Combine like terms: -16 + 16 = 0 0 + 24v = 14 + 16 24v = 14 + 16 Combine like terms: 14 + 16 = 30 24v = 30 Divide each side by '24'. v = 1.25 Simplifying v = 1.25
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