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Simplifying -126 = -7(-7 + 5v) -126 = (-7 * -7 + 5v * -7) -126 = (49 + -35v) Solving -126 = 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. -126 + 35v = 49 + -35v + 35v Combine like terms: -35v + 35v = 0 -126 + 35v = 49 + 0 -126 + 35v = 49 Add '126' to each side of the equation. -126 + 126 + 35v = 49 + 126 Combine like terms: -126 + 126 = 0 0 + 35v = 49 + 126 35v = 49 + 126 Combine like terms: 49 + 126 = 175 35v = 175 Divide each side by '35'. v = 5 Simplifying v = 5
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