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Simplifying -7(-3v + 20) + 5 = 6v Reorder the terms: -7(20 + -3v) + 5 = 6v (20 * -7 + -3v * -7) + 5 = 6v (-140 + 21v) + 5 = 6v Reorder the terms: -140 + 5 + 21v = 6v Combine like terms: -140 + 5 = -135 -135 + 21v = 6v Solving -135 + 21v = 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -135 + 21v + -6v = 6v + -6v Combine like terms: 21v + -6v = 15v -135 + 15v = 6v + -6v Combine like terms: 6v + -6v = 0 -135 + 15v = 0 Add '135' to each side of the equation. -135 + 135 + 15v = 0 + 135 Combine like terms: -135 + 135 = 0 0 + 15v = 0 + 135 15v = 0 + 135 Combine like terms: 0 + 135 = 135 15v = 135 Divide each side by '15'. v = 9 Simplifying v = 9
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