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Simplifying 3v + 3 + -7(-2v + -10) = 3(v + -2) Reorder the terms: 3v + 3 + -7(-10 + -2v) = 3(v + -2) 3v + 3 + (-10 * -7 + -2v * -7) = 3(v + -2) 3v + 3 + (70 + 14v) = 3(v + -2) Reorder the terms: 3 + 70 + 3v + 14v = 3(v + -2) Combine like terms: 3 + 70 = 73 73 + 3v + 14v = 3(v + -2) Combine like terms: 3v + 14v = 17v 73 + 17v = 3(v + -2) Reorder the terms: 73 + 17v = 3(-2 + v) 73 + 17v = (-2 * 3 + v * 3) 73 + 17v = (-6 + 3v) Solving 73 + 17v = -6 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 73 + 17v + -3v = -6 + 3v + -3v Combine like terms: 17v + -3v = 14v 73 + 14v = -6 + 3v + -3v Combine like terms: 3v + -3v = 0 73 + 14v = -6 + 0 73 + 14v = -6 Add '-73' to each side of the equation. 73 + -73 + 14v = -6 + -73 Combine like terms: 73 + -73 = 0 0 + 14v = -6 + -73 14v = -6 + -73 Combine like terms: -6 + -73 = -79 14v = -79 Divide each side by '14'. v = -5.642857143 Simplifying v = -5.642857143
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