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Simplifying 7(v + -5) = 3v + -31 Reorder the terms: 7(-5 + v) = 3v + -31 (-5 * 7 + v * 7) = 3v + -31 (-35 + 7v) = 3v + -31 Reorder the terms: -35 + 7v = -31 + 3v Solving -35 + 7v = -31 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -35 + 7v + -3v = -31 + 3v + -3v Combine like terms: 7v + -3v = 4v -35 + 4v = -31 + 3v + -3v Combine like terms: 3v + -3v = 0 -35 + 4v = -31 + 0 -35 + 4v = -31 Add '35' to each side of the equation. -35 + 35 + 4v = -31 + 35 Combine like terms: -35 + 35 = 0 0 + 4v = -31 + 35 4v = -31 + 35 Combine like terms: -31 + 35 = 4 4v = 4 Divide each side by '4'. v = 1 Simplifying v = 1
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