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Simplifying 5(4v + 2) = -3(1 + -7v) Reorder the terms: 5(2 + 4v) = -3(1 + -7v) (2 * 5 + 4v * 5) = -3(1 + -7v) (10 + 20v) = -3(1 + -7v) 10 + 20v = (1 * -3 + -7v * -3) 10 + 20v = (-3 + 21v) Solving 10 + 20v = -3 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. 10 + 20v + -21v = -3 + 21v + -21v Combine like terms: 20v + -21v = -1v 10 + -1v = -3 + 21v + -21v Combine like terms: 21v + -21v = 0 10 + -1v = -3 + 0 10 + -1v = -3 Add '-10' to each side of the equation. 10 + -10 + -1v = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -1v = -3 + -10 -1v = -3 + -10 Combine like terms: -3 + -10 = -13 -1v = -13 Divide each side by '-1'. v = 13 Simplifying v = 13
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