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Simplifying -6 + 6v = 7(5v + -5) Reorder the terms: -6 + 6v = 7(-5 + 5v) -6 + 6v = (-5 * 7 + 5v * 7) -6 + 6v = (-35 + 35v) Solving -6 + 6v = -35 + 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. -6 + 6v + -35v = -35 + 35v + -35v Combine like terms: 6v + -35v = -29v -6 + -29v = -35 + 35v + -35v Combine like terms: 35v + -35v = 0 -6 + -29v = -35 + 0 -6 + -29v = -35 Add '6' to each side of the equation. -6 + 6 + -29v = -35 + 6 Combine like terms: -6 + 6 = 0 0 + -29v = -35 + 6 -29v = -35 + 6 Combine like terms: -35 + 6 = -29 -29v = -29 Divide each side by '-29'. v = 1 Simplifying v = 1
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