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Simplifying 5(7v + -3) + -2(4 + -3v) = 27 Reorder the terms: 5(-3 + 7v) + -2(4 + -3v) = 27 (-3 * 5 + 7v * 5) + -2(4 + -3v) = 27 (-15 + 35v) + -2(4 + -3v) = 27 -15 + 35v + (4 * -2 + -3v * -2) = 27 -15 + 35v + (-8 + 6v) = 27 Reorder the terms: -15 + -8 + 35v + 6v = 27 Combine like terms: -15 + -8 = -23 -23 + 35v + 6v = 27 Combine like terms: 35v + 6v = 41v -23 + 41v = 27 Solving -23 + 41v = 27 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 41v = 27 + 23 Combine like terms: -23 + 23 = 0 0 + 41v = 27 + 23 41v = 27 + 23 Combine like terms: 27 + 23 = 50 41v = 50 Divide each side by '41'. v = 1.219512195 Simplifying v = 1.219512195
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