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Simplifying (-3v + 1) = 5(-2v + -2) Reorder the terms: (1 + -3v) = 5(-2v + -2) Remove parenthesis around (1 + -3v) 1 + -3v = 5(-2v + -2) Reorder the terms: 1 + -3v = 5(-2 + -2v) 1 + -3v = (-2 * 5 + -2v * 5) 1 + -3v = (-10 + -10v) Solving 1 + -3v = -10 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. 1 + -3v + 10v = -10 + -10v + 10v Combine like terms: -3v + 10v = 7v 1 + 7v = -10 + -10v + 10v Combine like terms: -10v + 10v = 0 1 + 7v = -10 + 0 1 + 7v = -10 Add '-1' to each side of the equation. 1 + -1 + 7v = -10 + -1 Combine like terms: 1 + -1 = 0 0 + 7v = -10 + -1 7v = -10 + -1 Combine like terms: -10 + -1 = -11 7v = -11 Divide each side by '7'. v = -1.571428571 Simplifying v = -1.571428571
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