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Simplifying 7(v + -5) = -4v + 9 Reorder the terms: 7(-5 + v) = -4v + 9 (-5 * 7 + v * 7) = -4v + 9 (-35 + 7v) = -4v + 9 Reorder the terms: -35 + 7v = 9 + -4v Solving -35 + 7v = 9 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -35 + 7v + 4v = 9 + -4v + 4v Combine like terms: 7v + 4v = 11v -35 + 11v = 9 + -4v + 4v Combine like terms: -4v + 4v = 0 -35 + 11v = 9 + 0 -35 + 11v = 9 Add '35' to each side of the equation. -35 + 35 + 11v = 9 + 35 Combine like terms: -35 + 35 = 0 0 + 11v = 9 + 35 11v = 9 + 35 Combine like terms: 9 + 35 = 44 11v = 44 Divide each side by '11'. v = 4 Simplifying v = 4
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