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Simplifying 5(v + -7) = 8v + -23 Reorder the terms: 5(-7 + v) = 8v + -23 (-7 * 5 + v * 5) = 8v + -23 (-35 + 5v) = 8v + -23 Reorder the terms: -35 + 5v = -23 + 8v Solving -35 + 5v = -23 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -35 + 5v + -8v = -23 + 8v + -8v Combine like terms: 5v + -8v = -3v -35 + -3v = -23 + 8v + -8v Combine like terms: 8v + -8v = 0 -35 + -3v = -23 + 0 -35 + -3v = -23 Add '35' to each side of the equation. -35 + 35 + -3v = -23 + 35 Combine like terms: -35 + 35 = 0 0 + -3v = -23 + 35 -3v = -23 + 35 Combine like terms: -23 + 35 = 12 -3v = 12 Divide each side by '-3'. v = -4 Simplifying v = -4
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