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Simplifying 7(v + -5) = 4v + -41 Reorder the terms: 7(-5 + v) = 4v + -41 (-5 * 7 + v * 7) = 4v + -41 (-35 + 7v) = 4v + -41 Reorder the terms: -35 + 7v = -41 + 4v Solving -35 + 7v = -41 + 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 = -41 + 4v + -4v Combine like terms: 7v + -4v = 3v -35 + 3v = -41 + 4v + -4v Combine like terms: 4v + -4v = 0 -35 + 3v = -41 + 0 -35 + 3v = -41 Add '35' to each side of the equation. -35 + 35 + 3v = -41 + 35 Combine like terms: -35 + 35 = 0 0 + 3v = -41 + 35 3v = -41 + 35 Combine like terms: -41 + 35 = -6 3v = -6 Divide each side by '3'. v = -2 Simplifying v = -2
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