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Simplifying -6v + 20 = 7(7 + -5v) Reorder the terms: 20 + -6v = 7(7 + -5v) 20 + -6v = (7 * 7 + -5v * 7) 20 + -6v = (49 + -35v) Solving 20 + -6v = 49 + -35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '35v' to each side of the equation. 20 + -6v + 35v = 49 + -35v + 35v Combine like terms: -6v + 35v = 29v 20 + 29v = 49 + -35v + 35v Combine like terms: -35v + 35v = 0 20 + 29v = 49 + 0 20 + 29v = 49 Add '-20' to each side of the equation. 20 + -20 + 29v = 49 + -20 Combine like terms: 20 + -20 = 0 0 + 29v = 49 + -20 29v = 49 + -20 Combine like terms: 49 + -20 = 29 29v = 29 Divide each side by '29'. v = 1 Simplifying v = 1
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